3(2x+5)-3(x-1)=6(4x-4)

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Solution for 3(2x+5)-3(x-1)=6(4x-4) equation:


Simplifying
3(2x + 5) + -3(x + -1) = 6(4x + -4)

Reorder the terms:
3(5 + 2x) + -3(x + -1) = 6(4x + -4)
(5 * 3 + 2x * 3) + -3(x + -1) = 6(4x + -4)
(15 + 6x) + -3(x + -1) = 6(4x + -4)

Reorder the terms:
15 + 6x + -3(-1 + x) = 6(4x + -4)
15 + 6x + (-1 * -3 + x * -3) = 6(4x + -4)
15 + 6x + (3 + -3x) = 6(4x + -4)

Reorder the terms:
15 + 3 + 6x + -3x = 6(4x + -4)

Combine like terms: 15 + 3 = 18
18 + 6x + -3x = 6(4x + -4)

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

Reorder the terms:
18 + 3x = 6(-4 + 4x)
18 + 3x = (-4 * 6 + 4x * 6)
18 + 3x = (-24 + 24x)

Solving
18 + 3x = -24 + 24x

Solving for variable 'x'.

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

Add '-24x' to each side of the equation.
18 + 3x + -24x = -24 + 24x + -24x

Combine like terms: 3x + -24x = -21x
18 + -21x = -24 + 24x + -24x

Combine like terms: 24x + -24x = 0
18 + -21x = -24 + 0
18 + -21x = -24

Add '-18' to each side of the equation.
18 + -18 + -21x = -24 + -18

Combine like terms: 18 + -18 = 0
0 + -21x = -24 + -18
-21x = -24 + -18

Combine like terms: -24 + -18 = -42
-21x = -42

Divide each side by '-21'.
x = 2

Simplifying
x = 2

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