4(x-3)+4(x+3)=5(2x-8)

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Solution for 4(x-3)+4(x+3)=5(2x-8) equation:


Simplifying
4(x + -3) + 4(x + 3) = 5(2x + -8)

Reorder the terms:
4(-3 + x) + 4(x + 3) = 5(2x + -8)
(-3 * 4 + x * 4) + 4(x + 3) = 5(2x + -8)
(-12 + 4x) + 4(x + 3) = 5(2x + -8)

Reorder the terms:
-12 + 4x + 4(3 + x) = 5(2x + -8)
-12 + 4x + (3 * 4 + x * 4) = 5(2x + -8)
-12 + 4x + (12 + 4x) = 5(2x + -8)

Reorder the terms:
-12 + 12 + 4x + 4x = 5(2x + -8)

Combine like terms: -12 + 12 = 0
0 + 4x + 4x = 5(2x + -8)
4x + 4x = 5(2x + -8)

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

Reorder the terms:
8x = 5(-8 + 2x)
8x = (-8 * 5 + 2x * 5)
8x = (-40 + 10x)

Solving
8x = -40 + 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.
8x + -10x = -40 + 10x + -10x

Combine like terms: 8x + -10x = -2x
-2x = -40 + 10x + -10x

Combine like terms: 10x + -10x = 0
-2x = -40 + 0
-2x = -40

Divide each side by '-2'.
x = 20

Simplifying
x = 20

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