8-3(x+5)=2x+12

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Solution for 8-3(x+5)=2x+12 equation:


Simplifying
8 + -3(x + 5) = 2x + 12

Reorder the terms:
8 + -3(5 + x) = 2x + 12
8 + (5 * -3 + x * -3) = 2x + 12
8 + (-15 + -3x) = 2x + 12

Combine like terms: 8 + -15 = -7
-7 + -3x = 2x + 12

Reorder the terms:
-7 + -3x = 12 + 2x

Solving
-7 + -3x = 12 + 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.
-7 + -3x + -2x = 12 + 2x + -2x

Combine like terms: -3x + -2x = -5x
-7 + -5x = 12 + 2x + -2x

Combine like terms: 2x + -2x = 0
-7 + -5x = 12 + 0
-7 + -5x = 12

Add '7' to each side of the equation.
-7 + 7 + -5x = 12 + 7

Combine like terms: -7 + 7 = 0
0 + -5x = 12 + 7
-5x = 12 + 7

Combine like terms: 12 + 7 = 19
-5x = 19

Divide each side by '-5'.
x = -3.8

Simplifying
x = -3.8

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