3(x-1)-(4x-7)=2(5x-1)-16

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Solution for 3(x-1)-(4x-7)=2(5x-1)-16 equation:


Simplifying
3(x + -1) + -1(4x + -7) = 2(5x + -1) + -16

Reorder the terms:
3(-1 + x) + -1(4x + -7) = 2(5x + -1) + -16
(-1 * 3 + x * 3) + -1(4x + -7) = 2(5x + -1) + -16
(-3 + 3x) + -1(4x + -7) = 2(5x + -1) + -16

Reorder the terms:
-3 + 3x + -1(-7 + 4x) = 2(5x + -1) + -16
-3 + 3x + (-7 * -1 + 4x * -1) = 2(5x + -1) + -16
-3 + 3x + (7 + -4x) = 2(5x + -1) + -16

Reorder the terms:
-3 + 7 + 3x + -4x = 2(5x + -1) + -16

Combine like terms: -3 + 7 = 4
4 + 3x + -4x = 2(5x + -1) + -16

Combine like terms: 3x + -4x = -1x
4 + -1x = 2(5x + -1) + -16

Reorder the terms:
4 + -1x = 2(-1 + 5x) + -16
4 + -1x = (-1 * 2 + 5x * 2) + -16
4 + -1x = (-2 + 10x) + -16

Reorder the terms:
4 + -1x = -2 + -16 + 10x

Combine like terms: -2 + -16 = -18
4 + -1x = -18 + 10x

Solving
4 + -1x = -18 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
4 + -1x + -10x = -18 + 10x + -10x

Combine like terms: -1x + -10x = -11x
4 + -11x = -18 + 10x + -10x

Combine like terms: 10x + -10x = 0
4 + -11x = -18 + 0
4 + -11x = -18

Add '-4' to each side of the equation.
4 + -4 + -11x = -18 + -4

Combine like terms: 4 + -4 = 0
0 + -11x = -18 + -4
-11x = -18 + -4

Combine like terms: -18 + -4 = -22
-11x = -22

Divide each side by '-11'.
x = 2

Simplifying
x = 2

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