10x+1=12x-13

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Solution for 10x+1=12x-13 equation:


Simplifying
10x + 1 = 12x + -13

Reorder the terms:
1 + 10x = 12x + -13

Reorder the terms:
1 + 10x = -13 + 12x

Solving
1 + 10x = -13 + 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.
1 + 10x + -12x = -13 + 12x + -12x

Combine like terms: 10x + -12x = -2x
1 + -2x = -13 + 12x + -12x

Combine like terms: 12x + -12x = 0
1 + -2x = -13 + 0
1 + -2x = -13

Add '-1' to each side of the equation.
1 + -1 + -2x = -13 + -1

Combine like terms: 1 + -1 = 0
0 + -2x = -13 + -1
-2x = -13 + -1

Combine like terms: -13 + -1 = -14
-2x = -14

Divide each side by '-2'.
x = 7

Simplifying
x = 7

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