10x+15=14x-5

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Solution for 10x+15=14x-5 equation:


Simplifying
10x + 15 = 14x + -5

Reorder the terms:
15 + 10x = 14x + -5

Reorder the terms:
15 + 10x = -5 + 14x

Solving
15 + 10x = -5 + 14x

Solving for variable 'x'.

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

Add '-14x' to each side of the equation.
15 + 10x + -14x = -5 + 14x + -14x

Combine like terms: 10x + -14x = -4x
15 + -4x = -5 + 14x + -14x

Combine like terms: 14x + -14x = 0
15 + -4x = -5 + 0
15 + -4x = -5

Add '-15' to each side of the equation.
15 + -15 + -4x = -5 + -15

Combine like terms: 15 + -15 = 0
0 + -4x = -5 + -15
-4x = -5 + -15

Combine like terms: -5 + -15 = -20
-4x = -20

Divide each side by '-4'.
x = 5

Simplifying
x = 5

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