7(x-8)-3=2(x-8)+17

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Solution for 7(x-8)-3=2(x-8)+17 equation:


Simplifying
7(x + -8) + -3 = 2(x + -8) + 17

Reorder the terms:
7(-8 + x) + -3 = 2(x + -8) + 17
(-8 * 7 + x * 7) + -3 = 2(x + -8) + 17
(-56 + 7x) + -3 = 2(x + -8) + 17

Reorder the terms:
-56 + -3 + 7x = 2(x + -8) + 17

Combine like terms: -56 + -3 = -59
-59 + 7x = 2(x + -8) + 17

Reorder the terms:
-59 + 7x = 2(-8 + x) + 17
-59 + 7x = (-8 * 2 + x * 2) + 17
-59 + 7x = (-16 + 2x) + 17

Reorder the terms:
-59 + 7x = -16 + 17 + 2x

Combine like terms: -16 + 17 = 1
-59 + 7x = 1 + 2x

Solving
-59 + 7x = 1 + 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.
-59 + 7x + -2x = 1 + 2x + -2x

Combine like terms: 7x + -2x = 5x
-59 + 5x = 1 + 2x + -2x

Combine like terms: 2x + -2x = 0
-59 + 5x = 1 + 0
-59 + 5x = 1

Add '59' to each side of the equation.
-59 + 59 + 5x = 1 + 59

Combine like terms: -59 + 59 = 0
0 + 5x = 1 + 59
5x = 1 + 59

Combine like terms: 1 + 59 = 60
5x = 60

Divide each side by '5'.
x = 12

Simplifying
x = 12

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