7(x-13)=12+5(3x-4)

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Solution for 7(x-13)=12+5(3x-4) equation:


Simplifying
7(x + -13) = 12 + 5(3x + -4)

Reorder the terms:
7(-13 + x) = 12 + 5(3x + -4)
(-13 * 7 + x * 7) = 12 + 5(3x + -4)
(-91 + 7x) = 12 + 5(3x + -4)

Reorder the terms:
-91 + 7x = 12 + 5(-4 + 3x)
-91 + 7x = 12 + (-4 * 5 + 3x * 5)
-91 + 7x = 12 + (-20 + 15x)

Combine like terms: 12 + -20 = -8
-91 + 7x = -8 + 15x

Solving
-91 + 7x = -8 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
-91 + 7x + -15x = -8 + 15x + -15x

Combine like terms: 7x + -15x = -8x
-91 + -8x = -8 + 15x + -15x

Combine like terms: 15x + -15x = 0
-91 + -8x = -8 + 0
-91 + -8x = -8

Add '91' to each side of the equation.
-91 + 91 + -8x = -8 + 91

Combine like terms: -91 + 91 = 0
0 + -8x = -8 + 91
-8x = -8 + 91

Combine like terms: -8 + 91 = 83
-8x = 83

Divide each side by '-8'.
x = -10.375

Simplifying
x = -10.375

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