7(x-8)=(2x-13)

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Solution for 7(x-8)=(2x-13) equation:


Simplifying
7(x + -8) = (2x + -13)

Reorder the terms:
7(-8 + x) = (2x + -13)
(-8 * 7 + x * 7) = (2x + -13)
(-56 + 7x) = (2x + -13)

Reorder the terms:
-56 + 7x = (-13 + 2x)

Remove parenthesis around (-13 + 2x)
-56 + 7x = -13 + 2x

Solving
-56 + 7x = -13 + 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.
-56 + 7x + -2x = -13 + 2x + -2x

Combine like terms: 7x + -2x = 5x
-56 + 5x = -13 + 2x + -2x

Combine like terms: 2x + -2x = 0
-56 + 5x = -13 + 0
-56 + 5x = -13

Add '56' to each side of the equation.
-56 + 56 + 5x = -13 + 56

Combine like terms: -56 + 56 = 0
0 + 5x = -13 + 56
5x = -13 + 56

Combine like terms: -13 + 56 = 43
5x = 43

Divide each side by '5'.
x = 8.6

Simplifying
x = 8.6

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