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

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


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

Reorder the terms:
2(-4 + x) = 7(x + -4)
(-4 * 2 + x * 2) = 7(x + -4)
(-8 + 2x) = 7(x + -4)

Reorder the terms:
-8 + 2x = 7(-4 + x)
-8 + 2x = (-4 * 7 + x * 7)
-8 + 2x = (-28 + 7x)

Solving
-8 + 2x = -28 + 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.
-8 + 2x + -7x = -28 + 7x + -7x

Combine like terms: 2x + -7x = -5x
-8 + -5x = -28 + 7x + -7x

Combine like terms: 7x + -7x = 0
-8 + -5x = -28 + 0
-8 + -5x = -28

Add '8' to each side of the equation.
-8 + 8 + -5x = -28 + 8

Combine like terms: -8 + 8 = 0
0 + -5x = -28 + 8
-5x = -28 + 8

Combine like terms: -28 + 8 = -20
-5x = -20

Divide each side by '-5'.
x = 4

Simplifying
x = 4

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