7x-12=10x+5

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Solution for 7x-12=10x+5 equation:


Simplifying
7x + -12 = 10x + 5

Reorder the terms:
-12 + 7x = 10x + 5

Reorder the terms:
-12 + 7x = 5 + 10x

Solving
-12 + 7x = 5 + 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.
-12 + 7x + -10x = 5 + 10x + -10x

Combine like terms: 7x + -10x = -3x
-12 + -3x = 5 + 10x + -10x

Combine like terms: 10x + -10x = 0
-12 + -3x = 5 + 0
-12 + -3x = 5

Add '12' to each side of the equation.
-12 + 12 + -3x = 5 + 12

Combine like terms: -12 + 12 = 0
0 + -3x = 5 + 12
-3x = 5 + 12

Combine like terms: 5 + 12 = 17
-3x = 17

Divide each side by '-3'.
x = -5.666666667

Simplifying
x = -5.666666667

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