9x-3(x-4)=13+2(x-3)

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Solution for 9x-3(x-4)=13+2(x-3) equation: 


Simplifying
9x + -3(x + -4) = 13 + 2(x + -3)

Reorder the terms:
9x + -3(-4 + x) = 13 + 2(x + -3)
9x + (-4 * -3 + x * -3) = 13 + 2(x + -3)
9x + (12 + -3x) = 13 + 2(x + -3)

Reorder the terms:
12 + 9x + -3x = 13 + 2(x + -3)

Combine like terms: 9x + -3x = 6x
12 + 6x = 13 + 2(x + -3)

Reorder the terms:
12 + 6x = 13 + 2(-3 + x)
12 + 6x = 13 + (-3 * 2 + x * 2)
12 + 6x = 13 + (-6 + 2x)

Combine like terms: 13 + -6 = 7
12 + 6x = 7 + 2x

Solving
12 + 6x = 7 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
12 + 6x + -2x = 7 + 2x + -2x

Combine like terms: 6x + -2x = 4x
12 + 4x = 7 + 2x + -2x

Combine like terms: 2x + -2x = 0
12 + 4x = 7 + 0
12 + 4x = 7

Add '-12' to each side of the equation.
12 + -12 + 4x = 7 + -12

Combine like terms: 12 + -12 = 0
0 + 4x = 7 + -12
4x = 7 + -12

Combine like terms: 7 + -12 = -5
4x = -5

Divide each side by '4'.
x = -1.25

Simplifying
x = -1.25

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