10x-15=4x+27

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Solution for 10x-15=4x+27 equation:


Simplifying
10x + -15 = 4x + 27

Reorder the terms:
-15 + 10x = 4x + 27

Reorder the terms:
-15 + 10x = 27 + 4x

Solving
-15 + 10x = 27 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-15 + 10x + -4x = 27 + 4x + -4x

Combine like terms: 10x + -4x = 6x
-15 + 6x = 27 + 4x + -4x

Combine like terms: 4x + -4x = 0
-15 + 6x = 27 + 0
-15 + 6x = 27

Add '15' to each side of the equation.
-15 + 15 + 6x = 27 + 15

Combine like terms: -15 + 15 = 0
0 + 6x = 27 + 15
6x = 27 + 15

Combine like terms: 27 + 15 = 42
6x = 42

Divide each side by '6'.
x = 7

Simplifying
x = 7

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