10x-3=7x-15

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Solution for 10x-3=7x-15 equation:


Simplifying
10x + -3 = 7x + -15

Reorder the terms:
-3 + 10x = 7x + -15

Reorder the terms:
-3 + 10x = -15 + 7x

Solving
-3 + 10x = -15 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-3 + 10x + -7x = -15 + 7x + -7x

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

Combine like terms: 7x + -7x = 0
-3 + 3x = -15 + 0
-3 + 3x = -15

Add '3' to each side of the equation.
-3 + 3 + 3x = -15 + 3

Combine like terms: -3 + 3 = 0
0 + 3x = -15 + 3
3x = -15 + 3

Combine like terms: -15 + 3 = -12
3x = -12

Divide each side by '3'.
x = -4

Simplifying
x = -4

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