2(x-7)+1=1x-2

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Solution for 2(x-7)+1=1x-2 equation:


Simplifying
2(x + -7) + 1 = 1x + -2

Reorder the terms:
2(-7 + x) + 1 = 1x + -2
(-7 * 2 + x * 2) + 1 = 1x + -2
(-14 + 2x) + 1 = 1x + -2

Reorder the terms:
-14 + 1 + 2x = 1x + -2

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

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

Solving
-13 + 2x = -2 + 1x

Solving for variable 'x'.

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

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

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

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

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

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

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

Divide each side by '1'.
x = 11

Simplifying
x = 11

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