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

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


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

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

Reorder the terms:
-2 = 10 + -5x + 7(-4 + x)
-2 = 10 + -5x + (-4 * 7 + x * 7)
-2 = 10 + -5x + (-28 + 7x)

Reorder the terms:
-2 = 10 + -28 + -5x + 7x

Combine like terms: 10 + -28 = -18
-2 = -18 + -5x + 7x

Combine like terms: -5x + 7x = 2x
-2 = -18 + 2x

Solving
-2 = -18 + 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.
-2 + -2x = -18 + 2x + -2x

Combine like terms: 2x + -2x = 0
-2 + -2x = -18 + 0
-2 + -2x = -18

Add '2' to each side of the equation.
-2 + 2 + -2x = -18 + 2

Combine like terms: -2 + 2 = 0
0 + -2x = -18 + 2
-2x = -18 + 2

Combine like terms: -18 + 2 = -16
-2x = -16

Divide each side by '-2'.
x = 8

Simplifying
x = 8

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