15(3x-7)+10(3-5x)=6(3-6x)

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Solution for 15(3x-7)+10(3-5x)=6(3-6x) equation:


Simplifying
15(3x + -7) + 10(3 + -5x) = 6(3 + -6x)

Reorder the terms:
15(-7 + 3x) + 10(3 + -5x) = 6(3 + -6x)
(-7 * 15 + 3x * 15) + 10(3 + -5x) = 6(3 + -6x)
(-105 + 45x) + 10(3 + -5x) = 6(3 + -6x)
-105 + 45x + (3 * 10 + -5x * 10) = 6(3 + -6x)
-105 + 45x + (30 + -50x) = 6(3 + -6x)

Reorder the terms:
-105 + 30 + 45x + -50x = 6(3 + -6x)

Combine like terms: -105 + 30 = -75
-75 + 45x + -50x = 6(3 + -6x)

Combine like terms: 45x + -50x = -5x
-75 + -5x = 6(3 + -6x)
-75 + -5x = (3 * 6 + -6x * 6)
-75 + -5x = (18 + -36x)

Solving
-75 + -5x = 18 + -36x

Solving for variable 'x'.

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

Add '36x' to each side of the equation.
-75 + -5x + 36x = 18 + -36x + 36x

Combine like terms: -5x + 36x = 31x
-75 + 31x = 18 + -36x + 36x

Combine like terms: -36x + 36x = 0
-75 + 31x = 18 + 0
-75 + 31x = 18

Add '75' to each side of the equation.
-75 + 75 + 31x = 18 + 75

Combine like terms: -75 + 75 = 0
0 + 31x = 18 + 75
31x = 18 + 75

Combine like terms: 18 + 75 = 93
31x = 93

Divide each side by '31'.
x = 3

Simplifying
x = 3

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