5x+10=12x-3

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Solution for 5x+10=12x-3 equation:


Simplifying
5x + 10 = 12x + -3

Reorder the terms:
10 + 5x = 12x + -3

Reorder the terms:
10 + 5x = -3 + 12x

Solving
10 + 5x = -3 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
10 + 5x + -12x = -3 + 12x + -12x

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

Combine like terms: 12x + -12x = 0
10 + -7x = -3 + 0
10 + -7x = -3

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

Combine like terms: 10 + -10 = 0
0 + -7x = -3 + -10
-7x = -3 + -10

Combine like terms: -3 + -10 = -13
-7x = -13

Divide each side by '-7'.
x = 1.857142857

Simplifying
x = 1.857142857

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