2x+27=10x-15

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Solution for 2x+27=10x-15 equation:


Simplifying
2x + 27 = 10x + -15

Reorder the terms:
27 + 2x = 10x + -15

Reorder the terms:
27 + 2x = -15 + 10x

Solving
27 + 2x = -15 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
27 + 2x + -10x = -15 + 10x + -10x

Combine like terms: 2x + -10x = -8x
27 + -8x = -15 + 10x + -10x

Combine like terms: 10x + -10x = 0
27 + -8x = -15 + 0
27 + -8x = -15

Add '-27' to each side of the equation.
27 + -27 + -8x = -15 + -27

Combine like terms: 27 + -27 = 0
0 + -8x = -15 + -27
-8x = -15 + -27

Combine like terms: -15 + -27 = -42
-8x = -42

Divide each side by '-8'.
x = 5.25

Simplifying
x = 5.25

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