6(10-x)-15(4+2x)=10(x-3)+36

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Solution for 6(10-x)-15(4+2x)=10(x-3)+36 equation:


Simplifying
6(10 + -1x) + -15(4 + 2x) = 10(x + -3) + 36
(10 * 6 + -1x * 6) + -15(4 + 2x) = 10(x + -3) + 36
(60 + -6x) + -15(4 + 2x) = 10(x + -3) + 36
60 + -6x + (4 * -15 + 2x * -15) = 10(x + -3) + 36
60 + -6x + (-60 + -30x) = 10(x + -3) + 36

Reorder the terms:
60 + -60 + -6x + -30x = 10(x + -3) + 36

Combine like terms: 60 + -60 = 0
0 + -6x + -30x = 10(x + -3) + 36
-6x + -30x = 10(x + -3) + 36

Combine like terms: -6x + -30x = -36x
-36x = 10(x + -3) + 36

Reorder the terms:
-36x = 10(-3 + x) + 36
-36x = (-3 * 10 + x * 10) + 36
-36x = (-30 + 10x) + 36

Reorder the terms:
-36x = -30 + 36 + 10x

Combine like terms: -30 + 36 = 6
-36x = 6 + 10x

Solving
-36x = 6 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
-36x + -10x = 6 + 10x + -10x

Combine like terms: -36x + -10x = -46x
-46x = 6 + 10x + -10x

Combine like terms: 10x + -10x = 0
-46x = 6 + 0
-46x = 6

Divide each side by '-46'.
x = -0.1304347826

Simplifying
x = -0.1304347826

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