2x+5x-8=x+10x-38

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Solution for 2x+5x-8=x+10x-38 equation:


Simplifying
2x + 5x + -8 = x + 10x + -38

Reorder the terms:
-8 + 2x + 5x = x + 10x + -38

Combine like terms: 2x + 5x = 7x
-8 + 7x = x + 10x + -38

Reorder the terms:
-8 + 7x = -38 + x + 10x

Combine like terms: x + 10x = 11x
-8 + 7x = -38 + 11x

Solving
-8 + 7x = -38 + 11x

Solving for variable 'x'.

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

Add '-11x' to each side of the equation.
-8 + 7x + -11x = -38 + 11x + -11x

Combine like terms: 7x + -11x = -4x
-8 + -4x = -38 + 11x + -11x

Combine like terms: 11x + -11x = 0
-8 + -4x = -38 + 0
-8 + -4x = -38

Add '8' to each side of the equation.
-8 + 8 + -4x = -38 + 8

Combine like terms: -8 + 8 = 0
0 + -4x = -38 + 8
-4x = -38 + 8

Combine like terms: -38 + 8 = -30
-4x = -30

Divide each side by '-4'.
x = 7.5

Simplifying
x = 7.5

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