3x+15=10x-15

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Solution for 3x+15=10x-15 equation:


Simplifying
3x + 15 = 10x + -15

Reorder the terms:
15 + 3x = 10x + -15

Reorder the terms:
15 + 3x = -15 + 10x

Solving
15 + 3x = -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.
15 + 3x + -10x = -15 + 10x + -10x

Combine like terms: 3x + -10x = -7x
15 + -7x = -15 + 10x + -10x

Combine like terms: 10x + -10x = 0
15 + -7x = -15 + 0
15 + -7x = -15

Add '-15' to each side of the equation.
15 + -15 + -7x = -15 + -15

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

Combine like terms: -15 + -15 = -30
-7x = -30

Divide each side by '-7'.
x = 4.285714286

Simplifying
x = 4.285714286

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