-5x-7=-3(x-1)+2

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Solution for -5x-7=-3(x-1)+2 equation:


Simplifying
-5x + -7 = -3(x + -1) + 2

Reorder the terms:
-7 + -5x = -3(x + -1) + 2

Reorder the terms:
-7 + -5x = -3(-1 + x) + 2
-7 + -5x = (-1 * -3 + x * -3) + 2
-7 + -5x = (3 + -3x) + 2

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

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

Solving
-7 + -5x = 5 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
-7 + -5x + 3x = 5 + -3x + 3x

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

Combine like terms: -3x + 3x = 0
-7 + -2x = 5 + 0
-7 + -2x = 5

Add '7' to each side of the equation.
-7 + 7 + -2x = 5 + 7

Combine like terms: -7 + 7 = 0
0 + -2x = 5 + 7
-2x = 5 + 7

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

Divide each side by '-2'.
x = -6

Simplifying
x = -6

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