3(2x)+4(12)-6x=-2(3x+4)+8

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Solution for 3(2x)+4(12)-6x=-2(3x+4)+8 equation:


Simplifying
3(2x) + 4(12) + -6x = -2(3x + 4) + 8

Remove parenthesis around (2x)
3 * 2x + 4(12) + -6x = -2(3x + 4) + 8

Multiply 3 * 2
6x + 4(12) + -6x = -2(3x + 4) + 8

Multiply 4 * 12
6x + 48 + -6x = -2(3x + 4) + 8

Reorder the terms:
48 + 6x + -6x = -2(3x + 4) + 8

Combine like terms: 6x + -6x = 0
48 + 0 = -2(3x + 4) + 8
48 = -2(3x + 4) + 8

Reorder the terms:
48 = -2(4 + 3x) + 8
48 = (4 * -2 + 3x * -2) + 8
48 = (-8 + -6x) + 8

Reorder the terms:
48 = -8 + 8 + -6x

Combine like terms: -8 + 8 = 0
48 = 0 + -6x
48 = -6x

Solving
48 = -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
48 + 6x = -6x + 6x

Combine like terms: -6x + 6x = 0
48 + 6x = 0

Add '-48' to each side of the equation.
48 + -48 + 6x = 0 + -48

Combine like terms: 48 + -48 = 0
0 + 6x = 0 + -48
6x = 0 + -48

Combine like terms: 0 + -48 = -48
6x = -48

Divide each side by '6'.
x = -8

Simplifying
x = -8

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