4(3x-8)-3=4(x-2)+13

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Solution for 4(3x-8)-3=4(x-2)+13 equation:


Simplifying
4(3x + -8) + -3 = 4(x + -2) + 13

Reorder the terms:
4(-8 + 3x) + -3 = 4(x + -2) + 13
(-8 * 4 + 3x * 4) + -3 = 4(x + -2) + 13
(-32 + 12x) + -3 = 4(x + -2) + 13

Reorder the terms:
-32 + -3 + 12x = 4(x + -2) + 13

Combine like terms: -32 + -3 = -35
-35 + 12x = 4(x + -2) + 13

Reorder the terms:
-35 + 12x = 4(-2 + x) + 13
-35 + 12x = (-2 * 4 + x * 4) + 13
-35 + 12x = (-8 + 4x) + 13

Reorder the terms:
-35 + 12x = -8 + 13 + 4x

Combine like terms: -8 + 13 = 5
-35 + 12x = 5 + 4x

Solving
-35 + 12x = 5 + 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.
-35 + 12x + -4x = 5 + 4x + -4x

Combine like terms: 12x + -4x = 8x
-35 + 8x = 5 + 4x + -4x

Combine like terms: 4x + -4x = 0
-35 + 8x = 5 + 0
-35 + 8x = 5

Add '35' to each side of the equation.
-35 + 35 + 8x = 5 + 35

Combine like terms: -35 + 35 = 0
0 + 8x = 5 + 35
8x = 5 + 35

Combine like terms: 5 + 35 = 40
8x = 40

Divide each side by '8'.
x = 5

Simplifying
x = 5

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