5x+2(3x-15)=15(x-14)+x+30

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Solution for 5x+2(3x-15)=15(x-14)+x+30 equation:


Simplifying
5x + 2(3x + -15) = 15(x + -14) + x + 30

Reorder the terms:
5x + 2(-15 + 3x) = 15(x + -14) + x + 30
5x + (-15 * 2 + 3x * 2) = 15(x + -14) + x + 30
5x + (-30 + 6x) = 15(x + -14) + x + 30

Reorder the terms:
-30 + 5x + 6x = 15(x + -14) + x + 30

Combine like terms: 5x + 6x = 11x
-30 + 11x = 15(x + -14) + x + 30

Reorder the terms:
-30 + 11x = 15(-14 + x) + x + 30
-30 + 11x = (-14 * 15 + x * 15) + x + 30
-30 + 11x = (-210 + 15x) + x + 30

Reorder the terms:
-30 + 11x = -210 + 30 + 15x + x

Combine like terms: -210 + 30 = -180
-30 + 11x = -180 + 15x + x

Combine like terms: 15x + x = 16x
-30 + 11x = -180 + 16x

Solving
-30 + 11x = -180 + 16x

Solving for variable 'x'.

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

Add '-16x' to each side of the equation.
-30 + 11x + -16x = -180 + 16x + -16x

Combine like terms: 11x + -16x = -5x
-30 + -5x = -180 + 16x + -16x

Combine like terms: 16x + -16x = 0
-30 + -5x = -180 + 0
-30 + -5x = -180

Add '30' to each side of the equation.
-30 + 30 + -5x = -180 + 30

Combine like terms: -30 + 30 = 0
0 + -5x = -180 + 30
-5x = -180 + 30

Combine like terms: -180 + 30 = -150
-5x = -150

Divide each side by '-5'.
x = 30

Simplifying
x = 30

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