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

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


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

Reorder the terms:
3(4 + x) = 5 + -2(3 + -2x)
(4 * 3 + x * 3) = 5 + -2(3 + -2x)
(12 + 3x) = 5 + -2(3 + -2x)
12 + 3x = 5 + (3 * -2 + -2x * -2)
12 + 3x = 5 + (-6 + 4x)

Combine like terms: 5 + -6 = -1
12 + 3x = -1 + 4x

Solving
12 + 3x = -1 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
12 + 3x + -4x = -1 + 4x + -4x

Combine like terms: 3x + -4x = -1x
12 + -1x = -1 + 4x + -4x

Combine like terms: 4x + -4x = 0
12 + -1x = -1 + 0
12 + -1x = -1

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

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

Combine like terms: -1 + -12 = -13
-1x = -13

Divide each side by '-1'.
x = 13

Simplifying
x = 13

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