3(x+10)=2(5x-15)

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Solution for 3(x+10)=2(5x-15) equation:


Simplifying
3(x + 10) = 2(5x + -15)

Reorder the terms:
3(10 + x) = 2(5x + -15)
(10 * 3 + x * 3) = 2(5x + -15)
(30 + 3x) = 2(5x + -15)

Reorder the terms:
30 + 3x = 2(-15 + 5x)
30 + 3x = (-15 * 2 + 5x * 2)
30 + 3x = (-30 + 10x)

Solving
30 + 3x = -30 + 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.
30 + 3x + -10x = -30 + 10x + -10x

Combine like terms: 3x + -10x = -7x
30 + -7x = -30 + 10x + -10x

Combine like terms: 10x + -10x = 0
30 + -7x = -30 + 0
30 + -7x = -30

Add '-30' to each side of the equation.
30 + -30 + -7x = -30 + -30

Combine like terms: 30 + -30 = 0
0 + -7x = -30 + -30
-7x = -30 + -30

Combine like terms: -30 + -30 = -60
-7x = -60

Divide each side by '-7'.
x = 8.571428571

Simplifying
x = 8.571428571

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