18-3(x-4)=5x+12

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Solution for 18-3(x-4)=5x+12 equation:


Simplifying
18 + -3(x + -4) = 5x + 12

Reorder the terms:
18 + -3(-4 + x) = 5x + 12
18 + (-4 * -3 + x * -3) = 5x + 12
18 + (12 + -3x) = 5x + 12

Combine like terms: 18 + 12 = 30
30 + -3x = 5x + 12

Reorder the terms:
30 + -3x = 12 + 5x

Solving
30 + -3x = 12 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
30 + -3x + -5x = 12 + 5x + -5x

Combine like terms: -3x + -5x = -8x
30 + -8x = 12 + 5x + -5x

Combine like terms: 5x + -5x = 0
30 + -8x = 12 + 0
30 + -8x = 12

Add '-30' to each side of the equation.
30 + -30 + -8x = 12 + -30

Combine like terms: 30 + -30 = 0
0 + -8x = 12 + -30
-8x = 12 + -30

Combine like terms: 12 + -30 = -18
-8x = -18

Divide each side by '-8'.
x = 2.25

Simplifying
x = 2.25

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