13x-7+3x-5=12x-2+3x

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Solution for 13x-7+3x-5=12x-2+3x equation:


Simplifying
13x + -7 + 3x + -5 = 12x + -2 + 3x

Reorder the terms:
-7 + -5 + 13x + 3x = 12x + -2 + 3x

Combine like terms: -7 + -5 = -12
-12 + 13x + 3x = 12x + -2 + 3x

Combine like terms: 13x + 3x = 16x
-12 + 16x = 12x + -2 + 3x

Reorder the terms:
-12 + 16x = -2 + 12x + 3x

Combine like terms: 12x + 3x = 15x
-12 + 16x = -2 + 15x

Solving
-12 + 16x = -2 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
-12 + 16x + -15x = -2 + 15x + -15x

Combine like terms: 16x + -15x = 1x
-12 + 1x = -2 + 15x + -15x

Combine like terms: 15x + -15x = 0
-12 + 1x = -2 + 0
-12 + 1x = -2

Add '12' to each side of the equation.
-12 + 12 + 1x = -2 + 12

Combine like terms: -12 + 12 = 0
0 + 1x = -2 + 12
1x = -2 + 12

Combine like terms: -2 + 12 = 10
1x = 10

Divide each side by '1'.
x = 10

Simplifying
x = 10

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