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

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Solution for 4(2x+1)-6(3x+2)-2(x-1)=3(5x+7) equation:


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

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

Reorder the terms:
4 + 8x + -6(2 + 3x) + -2(x + -1) = 3(5x + 7)
4 + 8x + (2 * -6 + 3x * -6) + -2(x + -1) = 3(5x + 7)
4 + 8x + (-12 + -18x) + -2(x + -1) = 3(5x + 7)

Reorder the terms:
4 + 8x + -12 + -18x + -2(-1 + x) = 3(5x + 7)
4 + 8x + -12 + -18x + (-1 * -2 + x * -2) = 3(5x + 7)
4 + 8x + -12 + -18x + (2 + -2x) = 3(5x + 7)

Reorder the terms:
4 + -12 + 2 + 8x + -18x + -2x = 3(5x + 7)

Combine like terms: 4 + -12 = -8
-8 + 2 + 8x + -18x + -2x = 3(5x + 7)

Combine like terms: -8 + 2 = -6
-6 + 8x + -18x + -2x = 3(5x + 7)

Combine like terms: 8x + -18x = -10x
-6 + -10x + -2x = 3(5x + 7)

Combine like terms: -10x + -2x = -12x
-6 + -12x = 3(5x + 7)

Reorder the terms:
-6 + -12x = 3(7 + 5x)
-6 + -12x = (7 * 3 + 5x * 3)
-6 + -12x = (21 + 15x)

Solving
-6 + -12x = 21 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
-6 + -12x + -15x = 21 + 15x + -15x

Combine like terms: -12x + -15x = -27x
-6 + -27x = 21 + 15x + -15x

Combine like terms: 15x + -15x = 0
-6 + -27x = 21 + 0
-6 + -27x = 21

Add '6' to each side of the equation.
-6 + 6 + -27x = 21 + 6

Combine like terms: -6 + 6 = 0
0 + -27x = 21 + 6
-27x = 21 + 6

Combine like terms: 21 + 6 = 27
-27x = 27

Divide each side by '-27'.
x = -1

Simplifying
x = -1

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