7(x-3)-5=5x+8

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Solution for 7(x-3)-5=5x+8 equation:


Simplifying
7(x + -3) + -5 = 5x + 8

Reorder the terms:
7(-3 + x) + -5 = 5x + 8
(-3 * 7 + x * 7) + -5 = 5x + 8
(-21 + 7x) + -5 = 5x + 8

Reorder the terms:
-21 + -5 + 7x = 5x + 8

Combine like terms: -21 + -5 = -26
-26 + 7x = 5x + 8

Reorder the terms:
-26 + 7x = 8 + 5x

Solving
-26 + 7x = 8 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-26 + 7x + -5x = 8 + 5x + -5x

Combine like terms: 7x + -5x = 2x
-26 + 2x = 8 + 5x + -5x

Combine like terms: 5x + -5x = 0
-26 + 2x = 8 + 0
-26 + 2x = 8

Add '26' to each side of the equation.
-26 + 26 + 2x = 8 + 26

Combine like terms: -26 + 26 = 0
0 + 2x = 8 + 26
2x = 8 + 26

Combine like terms: 8 + 26 = 34
2x = 34

Divide each side by '2'.
x = 17

Simplifying
x = 17

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