4(x+4)-2(x-4)=4(x+6)+5x

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


Simplifying
4(x + 4) + -2(x + -4) = 4(x + 6) + 5x

Reorder the terms:
4(4 + x) + -2(x + -4) = 4(x + 6) + 5x
(4 * 4 + x * 4) + -2(x + -4) = 4(x + 6) + 5x
(16 + 4x) + -2(x + -4) = 4(x + 6) + 5x

Reorder the terms:
16 + 4x + -2(-4 + x) = 4(x + 6) + 5x
16 + 4x + (-4 * -2 + x * -2) = 4(x + 6) + 5x
16 + 4x + (8 + -2x) = 4(x + 6) + 5x

Reorder the terms:
16 + 8 + 4x + -2x = 4(x + 6) + 5x

Combine like terms: 16 + 8 = 24
24 + 4x + -2x = 4(x + 6) + 5x

Combine like terms: 4x + -2x = 2x
24 + 2x = 4(x + 6) + 5x

Reorder the terms:
24 + 2x = 4(6 + x) + 5x
24 + 2x = (6 * 4 + x * 4) + 5x
24 + 2x = (24 + 4x) + 5x

Combine like terms: 4x + 5x = 9x
24 + 2x = 24 + 9x

Add '-24' to each side of the equation.
24 + -24 + 2x = 24 + -24 + 9x

Combine like terms: 24 + -24 = 0
0 + 2x = 24 + -24 + 9x
2x = 24 + -24 + 9x

Combine like terms: 24 + -24 = 0
2x = 0 + 9x
2x = 9x

Solving
2x = 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
2x + -9x = 9x + -9x

Combine like terms: 2x + -9x = -7x
-7x = 9x + -9x

Combine like terms: 9x + -9x = 0
-7x = 0

Divide each side by '-7'.
x = 0

Simplifying
x = 0

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