6(4x+3)+15=3(2-x)

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Solution for 6(4x+3)+15=3(2-x) equation:


Simplifying
6(4x + 3) + 15 = 3(2 + -1x)

Reorder the terms:
6(3 + 4x) + 15 = 3(2 + -1x)
(3 * 6 + 4x * 6) + 15 = 3(2 + -1x)
(18 + 24x) + 15 = 3(2 + -1x)

Reorder the terms:
18 + 15 + 24x = 3(2 + -1x)

Combine like terms: 18 + 15 = 33
33 + 24x = 3(2 + -1x)
33 + 24x = (2 * 3 + -1x * 3)
33 + 24x = (6 + -3x)

Solving
33 + 24x = 6 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
33 + 24x + 3x = 6 + -3x + 3x

Combine like terms: 24x + 3x = 27x
33 + 27x = 6 + -3x + 3x

Combine like terms: -3x + 3x = 0
33 + 27x = 6 + 0
33 + 27x = 6

Add '-33' to each side of the equation.
33 + -33 + 27x = 6 + -33

Combine like terms: 33 + -33 = 0
0 + 27x = 6 + -33
27x = 6 + -33

Combine like terms: 6 + -33 = -27
27x = -27

Divide each side by '27'.
x = -1

Simplifying
x = -1

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