3x-18-(6x-4)=10+3(2+4x)

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Solution for 3x-18-(6x-4)=10+3(2+4x) equation:


Simplifying
3x + -18 + -1(6x + -4) = 10 + 3(2 + 4x)

Reorder the terms:
3x + -18 + -1(-4 + 6x) = 10 + 3(2 + 4x)
3x + -18 + (-4 * -1 + 6x * -1) = 10 + 3(2 + 4x)
3x + -18 + (4 + -6x) = 10 + 3(2 + 4x)

Reorder the terms:
-18 + 4 + 3x + -6x = 10 + 3(2 + 4x)

Combine like terms: -18 + 4 = -14
-14 + 3x + -6x = 10 + 3(2 + 4x)

Combine like terms: 3x + -6x = -3x
-14 + -3x = 10 + 3(2 + 4x)
-14 + -3x = 10 + (2 * 3 + 4x * 3)
-14 + -3x = 10 + (6 + 12x)

Combine like terms: 10 + 6 = 16
-14 + -3x = 16 + 12x

Solving
-14 + -3x = 16 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
-14 + -3x + -12x = 16 + 12x + -12x

Combine like terms: -3x + -12x = -15x
-14 + -15x = 16 + 12x + -12x

Combine like terms: 12x + -12x = 0
-14 + -15x = 16 + 0
-14 + -15x = 16

Add '14' to each side of the equation.
-14 + 14 + -15x = 16 + 14

Combine like terms: -14 + 14 = 0
0 + -15x = 16 + 14
-15x = 16 + 14

Combine like terms: 16 + 14 = 30
-15x = 30

Divide each side by '-15'.
x = -2

Simplifying
x = -2

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