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

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


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

Reorder the terms:
-2(-3 + 2x) + 5(x + -1) = -1
(-3 * -2 + 2x * -2) + 5(x + -1) = -1
(6 + -4x) + 5(x + -1) = -1

Reorder the terms:
6 + -4x + 5(-1 + x) = -1
6 + -4x + (-1 * 5 + x * 5) = -1
6 + -4x + (-5 + 5x) = -1

Reorder the terms:
6 + -5 + -4x + 5x = -1

Combine like terms: 6 + -5 = 1
1 + -4x + 5x = -1

Combine like terms: -4x + 5x = 1x
1 + 1x = -1

Solving
1 + 1x = -1

Solving for variable 'x'.

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

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

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

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

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

Simplifying
x = -2

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