10x-7+x-2=13x-1

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Solution for 10x-7+x-2=13x-1 equation:


Simplifying
10x + -7 + x + -2 = 13x + -1

Reorder the terms:
-7 + -2 + 10x + x = 13x + -1

Combine like terms: -7 + -2 = -9
-9 + 10x + x = 13x + -1

Combine like terms: 10x + x = 11x
-9 + 11x = 13x + -1

Reorder the terms:
-9 + 11x = -1 + 13x

Solving
-9 + 11x = -1 + 13x

Solving for variable 'x'.

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

Add '-13x' to each side of the equation.
-9 + 11x + -13x = -1 + 13x + -13x

Combine like terms: 11x + -13x = -2x
-9 + -2x = -1 + 13x + -13x

Combine like terms: 13x + -13x = 0
-9 + -2x = -1 + 0
-9 + -2x = -1

Add '9' to each side of the equation.
-9 + 9 + -2x = -1 + 9

Combine like terms: -9 + 9 = 0
0 + -2x = -1 + 9
-2x = -1 + 9

Combine like terms: -1 + 9 = 8
-2x = 8

Divide each side by '-2'.
x = -4

Simplifying
x = -4

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