3(-x+2)+4(x-2)=15

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Solution for 3(-x+2)+4(x-2)=15 equation:


Simplifying
3(-1x + 2) + 4(x + -2) = 15

Reorder the terms:
3(2 + -1x) + 4(x + -2) = 15
(2 * 3 + -1x * 3) + 4(x + -2) = 15
(6 + -3x) + 4(x + -2) = 15

Reorder the terms:
6 + -3x + 4(-2 + x) = 15
6 + -3x + (-2 * 4 + x * 4) = 15
6 + -3x + (-8 + 4x) = 15

Reorder the terms:
6 + -8 + -3x + 4x = 15

Combine like terms: 6 + -8 = -2
-2 + -3x + 4x = 15

Combine like terms: -3x + 4x = 1x
-2 + 1x = 15

Solving
-2 + 1x = 15

Solving for variable 'x'.

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

Add '2' to each side of the equation.
-2 + 2 + 1x = 15 + 2

Combine like terms: -2 + 2 = 0
0 + 1x = 15 + 2
1x = 15 + 2

Combine like terms: 15 + 2 = 17
1x = 17

Divide each side by '1'.
x = 17

Simplifying
x = 17

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