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

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


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

Reorder the terms:
2x + -5(-2 + x) = -7 + 3x + -1
2x + (-2 * -5 + x * -5) = -7 + 3x + -1
2x + (10 + -5x) = -7 + 3x + -1

Reorder the terms:
10 + 2x + -5x = -7 + 3x + -1

Combine like terms: 2x + -5x = -3x
10 + -3x = -7 + 3x + -1

Reorder the terms:
10 + -3x = -7 + -1 + 3x

Combine like terms: -7 + -1 = -8
10 + -3x = -8 + 3x

Solving
10 + -3x = -8 + 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.
10 + -3x + -3x = -8 + 3x + -3x

Combine like terms: -3x + -3x = -6x
10 + -6x = -8 + 3x + -3x

Combine like terms: 3x + -3x = 0
10 + -6x = -8 + 0
10 + -6x = -8

Add '-10' to each side of the equation.
10 + -10 + -6x = -8 + -10

Combine like terms: 10 + -10 = 0
0 + -6x = -8 + -10
-6x = -8 + -10

Combine like terms: -8 + -10 = -18
-6x = -18

Divide each side by '-6'.
x = 3

Simplifying
x = 3

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