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

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


Simplifying
x + -4(3 + -2x) = 5x + 8
x + (3 * -4 + -2x * -4) = 5x + 8
x + (-12 + 8x) = 5x + 8

Reorder the terms:
-12 + x + 8x = 5x + 8

Combine like terms: x + 8x = 9x
-12 + 9x = 5x + 8

Reorder the terms:
-12 + 9x = 8 + 5x

Solving
-12 + 9x = 8 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-12 + 9x + -5x = 8 + 5x + -5x

Combine like terms: 9x + -5x = 4x
-12 + 4x = 8 + 5x + -5x

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

Add '12' to each side of the equation.
-12 + 12 + 4x = 8 + 12

Combine like terms: -12 + 12 = 0
0 + 4x = 8 + 12
4x = 8 + 12

Combine like terms: 8 + 12 = 20
4x = 20

Divide each side by '4'.
x = 5

Simplifying
x = 5

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