4(4x-3)-6x=4(2x-3)-24

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Solution for 4(4x-3)-6x=4(2x-3)-24 equation:


Simplifying
4(4x + -3) + -6x = 4(2x + -3) + -24

Reorder the terms:
4(-3 + 4x) + -6x = 4(2x + -3) + -24
(-3 * 4 + 4x * 4) + -6x = 4(2x + -3) + -24
(-12 + 16x) + -6x = 4(2x + -3) + -24

Combine like terms: 16x + -6x = 10x
-12 + 10x = 4(2x + -3) + -24

Reorder the terms:
-12 + 10x = 4(-3 + 2x) + -24
-12 + 10x = (-3 * 4 + 2x * 4) + -24
-12 + 10x = (-12 + 8x) + -24

Reorder the terms:
-12 + 10x = -12 + -24 + 8x

Combine like terms: -12 + -24 = -36
-12 + 10x = -36 + 8x

Solving
-12 + 10x = -36 + 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.
-12 + 10x + -8x = -36 + 8x + -8x

Combine like terms: 10x + -8x = 2x
-12 + 2x = -36 + 8x + -8x

Combine like terms: 8x + -8x = 0
-12 + 2x = -36 + 0
-12 + 2x = -36

Add '12' to each side of the equation.
-12 + 12 + 2x = -36 + 12

Combine like terms: -12 + 12 = 0
0 + 2x = -36 + 12
2x = -36 + 12

Combine like terms: -36 + 12 = -24
2x = -24

Divide each side by '2'.
x = -12

Simplifying
x = -12

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