3(x-4)=-2x+13

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Solution for 3(x-4)=-2x+13 equation:


Simplifying
3(x + -4) = -2x + 13

Reorder the terms:
3(-4 + x) = -2x + 13
(-4 * 3 + x * 3) = -2x + 13
(-12 + 3x) = -2x + 13

Reorder the terms:
-12 + 3x = 13 + -2x

Solving
-12 + 3x = 13 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-12 + 3x + 2x = 13 + -2x + 2x

Combine like terms: 3x + 2x = 5x
-12 + 5x = 13 + -2x + 2x

Combine like terms: -2x + 2x = 0
-12 + 5x = 13 + 0
-12 + 5x = 13

Add '12' to each side of the equation.
-12 + 12 + 5x = 13 + 12

Combine like terms: -12 + 12 = 0
0 + 5x = 13 + 12
5x = 13 + 12

Combine like terms: 13 + 12 = 25
5x = 25

Divide each side by '5'.
x = 5

Simplifying
x = 5

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