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

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


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

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

Solving
10 + -2x = 7 + -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 + -2x + 3x = 7 + -3x + 3x

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

Combine like terms: -3x + 3x = 0
10 + 1x = 7 + 0
10 + 1x = 7

Add '-10' to each side of the equation.
10 + -10 + 1x = 7 + -10

Combine like terms: 10 + -10 = 0
0 + 1x = 7 + -10
1x = 7 + -10

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

Divide each side by '1'.
x = -3

Simplifying
x = -3

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