4-4(x-3)=7x-8

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Solution for 4-4(x-3)=7x-8 equation: 


Simplifying
4 + -4(x + -3) = 7x + -8

Reorder the terms:
4 + -4(-3 + x) = 7x + -8
4 + (-3 * -4 + x * -4) = 7x + -8
4 + (12 + -4x) = 7x + -8

Combine like terms: 4 + 12 = 16
16 + -4x = 7x + -8

Reorder the terms:
16 + -4x = -8 + 7x

Solving
16 + -4x = -8 + 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.
16 + -4x + -7x = -8 + 7x + -7x

Combine like terms: -4x + -7x = -11x
16 + -11x = -8 + 7x + -7x

Combine like terms: 7x + -7x = 0
16 + -11x = -8 + 0
16 + -11x = -8

Add '-16' to each side of the equation.
16 + -16 + -11x = -8 + -16

Combine like terms: 16 + -16 = 0
0 + -11x = -8 + -16
-11x = -8 + -16

Combine like terms: -8 + -16 = -24
-11x = -24

Divide each side by '-11'.
x = 2.181818182

Simplifying
x = 2.181818182

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