8(2x-10)+x=15x-60

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Solution for 8(2x-10)+x=15x-60 equation:


Simplifying
8(2x + -10) + x = 15x + -60

Reorder the terms:
8(-10 + 2x) + x = 15x + -60
(-10 * 8 + 2x * 8) + x = 15x + -60
(-80 + 16x) + x = 15x + -60

Combine like terms: 16x + x = 17x
-80 + 17x = 15x + -60

Reorder the terms:
-80 + 17x = -60 + 15x

Solving
-80 + 17x = -60 + 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.
-80 + 17x + -15x = -60 + 15x + -15x

Combine like terms: 17x + -15x = 2x
-80 + 2x = -60 + 15x + -15x

Combine like terms: 15x + -15x = 0
-80 + 2x = -60 + 0
-80 + 2x = -60

Add '80' to each side of the equation.
-80 + 80 + 2x = -60 + 80

Combine like terms: -80 + 80 = 0
0 + 2x = -60 + 80
2x = -60 + 80

Combine like terms: -60 + 80 = 20
2x = 20

Divide each side by '2'.
x = 10

Simplifying
x = 10

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