12+3(2-x)=2(x+1)+7

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Solution for 12+3(2-x)=2(x+1)+7 equation:


Simplifying
12 + 3(2 + -1x) = 2(x + 1) + 7
12 + (2 * 3 + -1x * 3) = 2(x + 1) + 7
12 + (6 + -3x) = 2(x + 1) + 7

Combine like terms: 12 + 6 = 18
18 + -3x = 2(x + 1) + 7

Reorder the terms:
18 + -3x = 2(1 + x) + 7
18 + -3x = (1 * 2 + x * 2) + 7
18 + -3x = (2 + 2x) + 7

Reorder the terms:
18 + -3x = 2 + 7 + 2x

Combine like terms: 2 + 7 = 9
18 + -3x = 9 + 2x

Solving
18 + -3x = 9 + 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.
18 + -3x + -2x = 9 + 2x + -2x

Combine like terms: -3x + -2x = -5x
18 + -5x = 9 + 2x + -2x

Combine like terms: 2x + -2x = 0
18 + -5x = 9 + 0
18 + -5x = 9

Add '-18' to each side of the equation.
18 + -18 + -5x = 9 + -18

Combine like terms: 18 + -18 = 0
0 + -5x = 9 + -18
-5x = 9 + -18

Combine like terms: 9 + -18 = -9
-5x = -9

Divide each side by '-5'.
x = 1.8

Simplifying
x = 1.8

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