7(x-2)-5(x-2)=-2(x-4)

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


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

Reorder the terms:
7(-2 + x) + -5(x + -2) = -2(x + -4)
(-2 * 7 + x * 7) + -5(x + -2) = -2(x + -4)
(-14 + 7x) + -5(x + -2) = -2(x + -4)

Reorder the terms:
-14 + 7x + -5(-2 + x) = -2(x + -4)
-14 + 7x + (-2 * -5 + x * -5) = -2(x + -4)
-14 + 7x + (10 + -5x) = -2(x + -4)

Reorder the terms:
-14 + 10 + 7x + -5x = -2(x + -4)

Combine like terms: -14 + 10 = -4
-4 + 7x + -5x = -2(x + -4)

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

Reorder the terms:
-4 + 2x = -2(-4 + x)
-4 + 2x = (-4 * -2 + x * -2)
-4 + 2x = (8 + -2x)

Solving
-4 + 2x = 8 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-4 + 2x + 2x = 8 + -2x + 2x

Combine like terms: 2x + 2x = 4x
-4 + 4x = 8 + -2x + 2x

Combine like terms: -2x + 2x = 0
-4 + 4x = 8 + 0
-4 + 4x = 8

Add '4' to each side of the equation.
-4 + 4 + 4x = 8 + 4

Combine like terms: -4 + 4 = 0
0 + 4x = 8 + 4
4x = 8 + 4

Combine like terms: 8 + 4 = 12
4x = 12

Divide each side by '4'.
x = 3

Simplifying
x = 3

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