8x+11=15x-38

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Solution for 8x+11=15x-38 equation:


Simplifying
8x + 11 = 15x + -38

Reorder the terms:
11 + 8x = 15x + -38

Reorder the terms:
11 + 8x = -38 + 15x

Solving
11 + 8x = -38 + 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.
11 + 8x + -15x = -38 + 15x + -15x

Combine like terms: 8x + -15x = -7x
11 + -7x = -38 + 15x + -15x

Combine like terms: 15x + -15x = 0
11 + -7x = -38 + 0
11 + -7x = -38

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

Combine like terms: 11 + -11 = 0
0 + -7x = -38 + -11
-7x = -38 + -11

Combine like terms: -38 + -11 = -49
-7x = -49

Divide each side by '-7'.
x = 7

Simplifying
x = 7

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