4(3x-9)-3=4(x-3)+13

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Solution for 4(3x-9)-3=4(x-3)+13 equation:


Simplifying
4(3x + -9) + -3 = 4(x + -3) + 13

Reorder the terms:
4(-9 + 3x) + -3 = 4(x + -3) + 13
(-9 * 4 + 3x * 4) + -3 = 4(x + -3) + 13
(-36 + 12x) + -3 = 4(x + -3) + 13

Reorder the terms:
-36 + -3 + 12x = 4(x + -3) + 13

Combine like terms: -36 + -3 = -39
-39 + 12x = 4(x + -3) + 13

Reorder the terms:
-39 + 12x = 4(-3 + x) + 13
-39 + 12x = (-3 * 4 + x * 4) + 13
-39 + 12x = (-12 + 4x) + 13

Reorder the terms:
-39 + 12x = -12 + 13 + 4x

Combine like terms: -12 + 13 = 1
-39 + 12x = 1 + 4x

Solving
-39 + 12x = 1 + 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 = 1 + 4x + -4x

Combine like terms: 12x + -4x = 8x
-39 + 8x = 1 + 4x + -4x

Combine like terms: 4x + -4x = 0
-39 + 8x = 1 + 0
-39 + 8x = 1

Add '39' to each side of the equation.
-39 + 39 + 8x = 1 + 39

Combine like terms: -39 + 39 = 0
0 + 8x = 1 + 39
8x = 1 + 39

Combine like terms: 1 + 39 = 40
8x = 40

Divide each side by '8'.
x = 5

Simplifying
x = 5

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