6+4(2x-3)=-4(3x-3)+4x

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Solution for 6+4(2x-3)=-4(3x-3)+4x equation:


Simplifying
6 + 4(2x + -3) = -4(3x + -3) + 4x

Reorder the terms:
6 + 4(-3 + 2x) = -4(3x + -3) + 4x
6 + (-3 * 4 + 2x * 4) = -4(3x + -3) + 4x
6 + (-12 + 8x) = -4(3x + -3) + 4x

Combine like terms: 6 + -12 = -6
-6 + 8x = -4(3x + -3) + 4x

Reorder the terms:
-6 + 8x = -4(-3 + 3x) + 4x
-6 + 8x = (-3 * -4 + 3x * -4) + 4x
-6 + 8x = (12 + -12x) + 4x

Combine like terms: -12x + 4x = -8x
-6 + 8x = 12 + -8x

Solving
-6 + 8x = 12 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
-6 + 8x + 8x = 12 + -8x + 8x

Combine like terms: 8x + 8x = 16x
-6 + 16x = 12 + -8x + 8x

Combine like terms: -8x + 8x = 0
-6 + 16x = 12 + 0
-6 + 16x = 12

Add '6' to each side of the equation.
-6 + 6 + 16x = 12 + 6

Combine like terms: -6 + 6 = 0
0 + 16x = 12 + 6
16x = 12 + 6

Combine like terms: 12 + 6 = 18
16x = 18

Divide each side by '16'.
x = 1.125

Simplifying
x = 1.125

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