x-3=2(x+1)-7

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Solution for x-3=2(x+1)-7 equation:


Simplifying
x + -3 = 2(x + 1) + -7

Reorder the terms:
-3 + x = 2(x + 1) + -7

Reorder the terms:
-3 + x = 2(1 + x) + -7
-3 + x = (1 * 2 + x * 2) + -7
-3 + x = (2 + 2x) + -7

Reorder the terms:
-3 + x = 2 + -7 + 2x

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

Solving
-3 + x = -5 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-3 + x + -2x = -5 + 2x + -2x

Combine like terms: x + -2x = -1x
-3 + -1x = -5 + 2x + -2x

Combine like terms: 2x + -2x = 0
-3 + -1x = -5 + 0
-3 + -1x = -5

Add '3' to each side of the equation.
-3 + 3 + -1x = -5 + 3

Combine like terms: -3 + 3 = 0
0 + -1x = -5 + 3
-1x = -5 + 3

Combine like terms: -5 + 3 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2

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