8x-3(x+4)=2x+30

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Solution for 8x-3(x+4)=2x+30 equation:


Simplifying
8x + -3(x + 4) = 2x + 30

Reorder the terms:
8x + -3(4 + x) = 2x + 30
8x + (4 * -3 + x * -3) = 2x + 30
8x + (-12 + -3x) = 2x + 30

Reorder the terms:
-12 + 8x + -3x = 2x + 30

Combine like terms: 8x + -3x = 5x
-12 + 5x = 2x + 30

Reorder the terms:
-12 + 5x = 30 + 2x

Solving
-12 + 5x = 30 + 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 + 5x + -2x = 30 + 2x + -2x

Combine like terms: 5x + -2x = 3x
-12 + 3x = 30 + 2x + -2x

Combine like terms: 2x + -2x = 0
-12 + 3x = 30 + 0
-12 + 3x = 30

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

Combine like terms: -12 + 12 = 0
0 + 3x = 30 + 12
3x = 30 + 12

Combine like terms: 30 + 12 = 42
3x = 42

Divide each side by '3'.
x = 14

Simplifying
x = 14

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