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

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


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

Reorder the terms:
6(-1 + 5x) + -6(3x) = 6(4x + 3)
(-1 * 6 + 5x * 6) + -6(3x) = 6(4x + 3)
(-6 + 30x) + -6(3x) = 6(4x + 3)

Remove parenthesis around (3x)
-6 + 30x + -6 * 3x = 6(4x + 3)

Multiply -6 * 3
-6 + 30x + -18x = 6(4x + 3)

Combine like terms: 30x + -18x = 12x
-6 + 12x = 6(4x + 3)

Reorder the terms:
-6 + 12x = 6(3 + 4x)
-6 + 12x = (3 * 6 + 4x * 6)
-6 + 12x = (18 + 24x)

Solving
-6 + 12x = 18 + 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.
-6 + 12x + -24x = 18 + 24x + -24x

Combine like terms: 12x + -24x = -12x
-6 + -12x = 18 + 24x + -24x

Combine like terms: 24x + -24x = 0
-6 + -12x = 18 + 0
-6 + -12x = 18

Add '6' to each side of the equation.
-6 + 6 + -12x = 18 + 6

Combine like terms: -6 + 6 = 0
0 + -12x = 18 + 6
-12x = 18 + 6

Combine like terms: 18 + 6 = 24
-12x = 24

Divide each side by '-12'.
x = -2

Simplifying
x = -2

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