2(3x+4)-5(2x-3)+7=7(x-1)+4

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Solution for 2(3x+4)-5(2x-3)+7=7(x-1)+4 equation:


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

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

Reorder the terms:
8 + 6x + -5(-3 + 2x) + 7 = 7(x + -1) + 4
8 + 6x + (-3 * -5 + 2x * -5) + 7 = 7(x + -1) + 4
8 + 6x + (15 + -10x) + 7 = 7(x + -1) + 4

Reorder the terms:
8 + 15 + 7 + 6x + -10x = 7(x + -1) + 4

Combine like terms: 8 + 15 = 23
23 + 7 + 6x + -10x = 7(x + -1) + 4

Combine like terms: 23 + 7 = 30
30 + 6x + -10x = 7(x + -1) + 4

Combine like terms: 6x + -10x = -4x
30 + -4x = 7(x + -1) + 4

Reorder the terms:
30 + -4x = 7(-1 + x) + 4
30 + -4x = (-1 * 7 + x * 7) + 4
30 + -4x = (-7 + 7x) + 4

Reorder the terms:
30 + -4x = -7 + 4 + 7x

Combine like terms: -7 + 4 = -3
30 + -4x = -3 + 7x

Solving
30 + -4x = -3 + 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.
30 + -4x + -7x = -3 + 7x + -7x

Combine like terms: -4x + -7x = -11x
30 + -11x = -3 + 7x + -7x

Combine like terms: 7x + -7x = 0
30 + -11x = -3 + 0
30 + -11x = -3

Add '-30' to each side of the equation.
30 + -30 + -11x = -3 + -30

Combine like terms: 30 + -30 = 0
0 + -11x = -3 + -30
-11x = -3 + -30

Combine like terms: -3 + -30 = -33
-11x = -33

Divide each side by '-11'.
x = 3

Simplifying
x = 3

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