5(x-3)+7(2-x)-4(2x+7)-3x+2=11-8(x-7)+4x-(6-5x)+8x-2x

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Solution for 5(x-3)+7(2-x)-4(2x+7)-3x+2=11-8(x-7)+4x-(6-5x)+8x-2x equation:


Simplifying
5(x + -3) + 7(2 + -1x) + -4(2x + 7) + -3x + 2 = 11 + -8(x + -7) + 4x + -1(6 + -5x) + 8x + -2x

Reorder the terms:
5(-3 + x) + 7(2 + -1x) + -4(2x + 7) + -3x + 2 = 11 + -8(x + -7) + 4x + -1(6 + -5x) + 8x + -2x
(-3 * 5 + x * 5) + 7(2 + -1x) + -4(2x + 7) + -3x + 2 = 11 + -8(x + -7) + 4x + -1(6 + -5x) + 8x + -2x
(-15 + 5x) + 7(2 + -1x) + -4(2x + 7) + -3x + 2 = 11 + -8(x + -7) + 4x + -1(6 + -5x) + 8x + -2x
-15 + 5x + (2 * 7 + -1x * 7) + -4(2x + 7) + -3x + 2 = 11 + -8(x + -7) + 4x + -1(6 + -5x) + 8x + -2x
-15 + 5x + (14 + -7x) + -4(2x + 7) + -3x + 2 = 11 + -8(x + -7) + 4x + -1(6 + -5x) + 8x + -2x

Reorder the terms:
-15 + 5x + 14 + -7x + -4(7 + 2x) + -3x + 2 = 11 + -8(x + -7) + 4x + -1(6 + -5x) + 8x + -2x
-15 + 5x + 14 + -7x + (7 * -4 + 2x * -4) + -3x + 2 = 11 + -8(x + -7) + 4x + -1(6 + -5x) + 8x + -2x
-15 + 5x + 14 + -7x + (-28 + -8x) + -3x + 2 = 11 + -8(x + -7) + 4x + -1(6 + -5x) + 8x + -2x

Reorder the terms:
-15 + 14 + -28 + 2 + 5x + -7x + -8x + -3x = 11 + -8(x + -7) + 4x + -1(6 + -5x) + 8x + -2x

Combine like terms: -15 + 14 = -1
-1 + -28 + 2 + 5x + -7x + -8x + -3x = 11 + -8(x + -7) + 4x + -1(6 + -5x) + 8x + -2x

Combine like terms: -1 + -28 = -29
-29 + 2 + 5x + -7x + -8x + -3x = 11 + -8(x + -7) + 4x + -1(6 + -5x) + 8x + -2x

Combine like terms: -29 + 2 = -27
-27 + 5x + -7x + -8x + -3x = 11 + -8(x + -7) + 4x + -1(6 + -5x) + 8x + -2x

Combine like terms: 5x + -7x = -2x
-27 + -2x + -8x + -3x = 11 + -8(x + -7) + 4x + -1(6 + -5x) + 8x + -2x

Combine like terms: -2x + -8x = -10x
-27 + -10x + -3x = 11 + -8(x + -7) + 4x + -1(6 + -5x) + 8x + -2x

Combine like terms: -10x + -3x = -13x
-27 + -13x = 11 + -8(x + -7) + 4x + -1(6 + -5x) + 8x + -2x

Reorder the terms:
-27 + -13x = 11 + -8(-7 + x) + 4x + -1(6 + -5x) + 8x + -2x
-27 + -13x = 11 + (-7 * -8 + x * -8) + 4x + -1(6 + -5x) + 8x + -2x
-27 + -13x = 11 + (56 + -8x) + 4x + -1(6 + -5x) + 8x + -2x
-27 + -13x = 11 + 56 + -8x + 4x + (6 * -1 + -5x * -1) + 8x + -2x
-27 + -13x = 11 + 56 + -8x + 4x + (-6 + 5x) + 8x + -2x

Reorder the terms:
-27 + -13x = 11 + 56 + -6 + -8x + 4x + 5x + 8x + -2x

Combine like terms: 11 + 56 = 67
-27 + -13x = 67 + -6 + -8x + 4x + 5x + 8x + -2x

Combine like terms: 67 + -6 = 61
-27 + -13x = 61 + -8x + 4x + 5x + 8x + -2x

Combine like terms: -8x + 4x = -4x
-27 + -13x = 61 + -4x + 5x + 8x + -2x

Combine like terms: -4x + 5x = 1x
-27 + -13x = 61 + 1x + 8x + -2x

Combine like terms: 1x + 8x = 9x
-27 + -13x = 61 + 9x + -2x

Combine like terms: 9x + -2x = 7x
-27 + -13x = 61 + 7x

Solving
-27 + -13x = 61 + 7x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-7x' to each side of the equation.
-27 + -13x + -7x = 61 + 7x + -7x

Combine like terms: -13x + -7x = -20x
-27 + -20x = 61 + 7x + -7x

Combine like terms: 7x + -7x = 0
-27 + -20x = 61 + 0
-27 + -20x = 61

Add '27' to each side of the equation.
-27 + 27 + -20x = 61 + 27

Combine like terms: -27 + 27 = 0
0 + -20x = 61 + 27
-20x = 61 + 27

Combine like terms: 61 + 27 = 88
-20x = 88

Divide each side by '-20'.
x = -4.4

Simplifying
x = -4.4

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