3-2(x+5)=-3(x-4)+2x

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Solution for 3-2(x+5)=-3(x-4)+2x equation:


Simplifying
3 + -2(x + 5) = -3(x + -4) + 2x

Reorder the terms:
3 + -2(5 + x) = -3(x + -4) + 2x
3 + (5 * -2 + x * -2) = -3(x + -4) + 2x
3 + (-10 + -2x) = -3(x + -4) + 2x

Combine like terms: 3 + -10 = -7
-7 + -2x = -3(x + -4) + 2x

Reorder the terms:
-7 + -2x = -3(-4 + x) + 2x
-7 + -2x = (-4 * -3 + x * -3) + 2x
-7 + -2x = (12 + -3x) + 2x

Combine like terms: -3x + 2x = -1x
-7 + -2x = 12 + -1x

Solving
-7 + -2x = 12 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-7 + -2x + x = 12 + -1x + x

Combine like terms: -2x + x = -1x
-7 + -1x = 12 + -1x + x

Combine like terms: -1x + x = 0
-7 + -1x = 12 + 0
-7 + -1x = 12

Add '7' to each side of the equation.
-7 + 7 + -1x = 12 + 7

Combine like terms: -7 + 7 = 0
0 + -1x = 12 + 7
-1x = 12 + 7

Combine like terms: 12 + 7 = 19
-1x = 19

Divide each side by '-1'.
x = -19

Simplifying
x = -19

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