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

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


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

Reorder the terms:
4(-5 + 2x) + -4 = 4(x + -4) + 8
(-5 * 4 + 2x * 4) + -4 = 4(x + -4) + 8
(-20 + 8x) + -4 = 4(x + -4) + 8

Reorder the terms:
-20 + -4 + 8x = 4(x + -4) + 8

Combine like terms: -20 + -4 = -24
-24 + 8x = 4(x + -4) + 8

Reorder the terms:
-24 + 8x = 4(-4 + x) + 8
-24 + 8x = (-4 * 4 + x * 4) + 8
-24 + 8x = (-16 + 4x) + 8

Reorder the terms:
-24 + 8x = -16 + 8 + 4x

Combine like terms: -16 + 8 = -8
-24 + 8x = -8 + 4x

Solving
-24 + 8x = -8 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-24 + 8x + -4x = -8 + 4x + -4x

Combine like terms: 8x + -4x = 4x
-24 + 4x = -8 + 4x + -4x

Combine like terms: 4x + -4x = 0
-24 + 4x = -8 + 0
-24 + 4x = -8

Add '24' to each side of the equation.
-24 + 24 + 4x = -8 + 24

Combine like terms: -24 + 24 = 0
0 + 4x = -8 + 24
4x = -8 + 24

Combine like terms: -8 + 24 = 16
4x = 16

Divide each side by '4'.
x = 4

Simplifying
x = 4

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