3(4-x)=2(x+7)

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Solution for 3(4-x)=2(x+7) equation:


Simplifying
3(4 + -1x) = 2(x + 7)
(4 * 3 + -1x * 3) = 2(x + 7)
(12 + -3x) = 2(x + 7)

Reorder the terms:
12 + -3x = 2(7 + x)
12 + -3x = (7 * 2 + x * 2)
12 + -3x = (14 + 2x)

Solving
12 + -3x = 14 + 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 = 14 + 2x + -2x

Combine like terms: -3x + -2x = -5x
12 + -5x = 14 + 2x + -2x

Combine like terms: 2x + -2x = 0
12 + -5x = 14 + 0
12 + -5x = 14

Add '-12' to each side of the equation.
12 + -12 + -5x = 14 + -12

Combine like terms: 12 + -12 = 0
0 + -5x = 14 + -12
-5x = 14 + -12

Combine like terms: 14 + -12 = 2
-5x = 2

Divide each side by '-5'.
x = -0.4

Simplifying
x = -0.4

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