4+4(2x-3)=-3(3x-2)+9x

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Solution for 4+4(2x-3)=-3(3x-2)+9x equation: 


Simplifying
4 + 4(2x + -3) = -3(3x + -2) + 9x

Reorder the terms:
4 + 4(-3 + 2x) = -3(3x + -2) + 9x
4 + (-3 * 4 + 2x * 4) = -3(3x + -2) + 9x
4 + (-12 + 8x) = -3(3x + -2) + 9x

Combine like terms: 4 + -12 = -8
-8 + 8x = -3(3x + -2) + 9x

Reorder the terms:
-8 + 8x = -3(-2 + 3x) + 9x
-8 + 8x = (-2 * -3 + 3x * -3) + 9x
-8 + 8x = (6 + -9x) + 9x

Combine like terms: -9x + 9x = 0
-8 + 8x = 6 + 0
-8 + 8x = 6

Solving
-8 + 8x = 6

Solving for variable 'x'.

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

Add '8' to each side of the equation.
-8 + 8 + 8x = 6 + 8

Combine like terms: -8 + 8 = 0
0 + 8x = 6 + 8
8x = 6 + 8

Combine like terms: 6 + 8 = 14
8x = 14

Divide each side by '8'.
x = 1.75

Simplifying
x = 1.75

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