3(2x+5)-6(x-4)=3(10x+3)

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Solution for 3(2x+5)-6(x-4)=3(10x+3) equation:


Simplifying
3(2x + 5) + -6(x + -4) = 3(10x + 3)

Reorder the terms:
3(5 + 2x) + -6(x + -4) = 3(10x + 3)
(5 * 3 + 2x * 3) + -6(x + -4) = 3(10x + 3)
(15 + 6x) + -6(x + -4) = 3(10x + 3)

Reorder the terms:
15 + 6x + -6(-4 + x) = 3(10x + 3)
15 + 6x + (-4 * -6 + x * -6) = 3(10x + 3)
15 + 6x + (24 + -6x) = 3(10x + 3)

Reorder the terms:
15 + 24 + 6x + -6x = 3(10x + 3)

Combine like terms: 15 + 24 = 39
39 + 6x + -6x = 3(10x + 3)

Combine like terms: 6x + -6x = 0
39 + 0 = 3(10x + 3)
39 = 3(10x + 3)

Reorder the terms:
39 = 3(3 + 10x)
39 = (3 * 3 + 10x * 3)
39 = (9 + 30x)

Solving
39 = 9 + 30x

Solving for variable 'x'.

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

Add '-30x' to each side of the equation.
39 + -30x = 9 + 30x + -30x

Combine like terms: 30x + -30x = 0
39 + -30x = 9 + 0
39 + -30x = 9

Add '-39' to each side of the equation.
39 + -39 + -30x = 9 + -39

Combine like terms: 39 + -39 = 0
0 + -30x = 9 + -39
-30x = 9 + -39

Combine like terms: 9 + -39 = -30
-30x = -30

Divide each side by '-30'.
x = 1

Simplifying
x = 1

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