13x-3(x-4)=3(2x-4)+11

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Solution for 13x-3(x-4)=3(2x-4)+11 equation:


Simplifying
13x + -3(x + -4) = 3(2x + -4) + 11

Reorder the terms:
13x + -3(-4 + x) = 3(2x + -4) + 11
13x + (-4 * -3 + x * -3) = 3(2x + -4) + 11
13x + (12 + -3x) = 3(2x + -4) + 11

Reorder the terms:
12 + 13x + -3x = 3(2x + -4) + 11

Combine like terms: 13x + -3x = 10x
12 + 10x = 3(2x + -4) + 11

Reorder the terms:
12 + 10x = 3(-4 + 2x) + 11
12 + 10x = (-4 * 3 + 2x * 3) + 11
12 + 10x = (-12 + 6x) + 11

Reorder the terms:
12 + 10x = -12 + 11 + 6x

Combine like terms: -12 + 11 = -1
12 + 10x = -1 + 6x

Solving
12 + 10x = -1 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
12 + 10x + -6x = -1 + 6x + -6x

Combine like terms: 10x + -6x = 4x
12 + 4x = -1 + 6x + -6x

Combine like terms: 6x + -6x = 0
12 + 4x = -1 + 0
12 + 4x = -1

Add '-12' to each side of the equation.
12 + -12 + 4x = -1 + -12

Combine like terms: 12 + -12 = 0
0 + 4x = -1 + -12
4x = -1 + -12

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

Divide each side by '4'.
x = -3.25

Simplifying
x = -3.25

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