4(3x+1)+30=8x-2

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Solution for 4(3x+1)+30=8x-2 equation:


Simplifying
4(3x + 1) + 30 = 8x + -2

Reorder the terms:
4(1 + 3x) + 30 = 8x + -2
(1 * 4 + 3x * 4) + 30 = 8x + -2
(4 + 12x) + 30 = 8x + -2

Reorder the terms:
4 + 30 + 12x = 8x + -2

Combine like terms: 4 + 30 = 34
34 + 12x = 8x + -2

Reorder the terms:
34 + 12x = -2 + 8x

Solving
34 + 12x = -2 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
34 + 12x + -8x = -2 + 8x + -8x

Combine like terms: 12x + -8x = 4x
34 + 4x = -2 + 8x + -8x

Combine like terms: 8x + -8x = 0
34 + 4x = -2 + 0
34 + 4x = -2

Add '-34' to each side of the equation.
34 + -34 + 4x = -2 + -34

Combine like terms: 34 + -34 = 0
0 + 4x = -2 + -34
4x = -2 + -34

Combine like terms: -2 + -34 = -36
4x = -36

Divide each side by '4'.
x = -9

Simplifying
x = -9

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