4(3x-8)-7=4(x-3)+21

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Solution for 4(3x-8)-7=4(x-3)+21 equation: 


Simplifying
4(3x + -8) + -7 = 4(x + -3) + 21

Reorder the terms:
4(-8 + 3x) + -7 = 4(x + -3) + 21
(-8 * 4 + 3x * 4) + -7 = 4(x + -3) + 21
(-32 + 12x) + -7 = 4(x + -3) + 21

Reorder the terms:
-32 + -7 + 12x = 4(x + -3) + 21

Combine like terms: -32 + -7 = -39
-39 + 12x = 4(x + -3) + 21

Reorder the terms:
-39 + 12x = 4(-3 + x) + 21
-39 + 12x = (-3 * 4 + x * 4) + 21
-39 + 12x = (-12 + 4x) + 21

Reorder the terms:
-39 + 12x = -12 + 21 + 4x

Combine like terms: -12 + 21 = 9
-39 + 12x = 9 + 4x

Solving
-39 + 12x = 9 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-39 + 12x + -4x = 9 + 4x + -4x

Combine like terms: 12x + -4x = 8x
-39 + 8x = 9 + 4x + -4x

Combine like terms: 4x + -4x = 0
-39 + 8x = 9 + 0
-39 + 8x = 9

Add '39' to each side of the equation.
-39 + 39 + 8x = 9 + 39

Combine like terms: -39 + 39 = 0
0 + 8x = 9 + 39
8x = 9 + 39

Combine like terms: 9 + 39 = 48
8x = 48

Divide each side by '8'.
x = 6

Simplifying
x = 6

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