3(5x+10)=2(20x-10)

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Solution for 3(5x+10)=2(20x-10) equation:


Simplifying
3(5x + 10) = 2(20x + -10)

Reorder the terms:
3(10 + 5x) = 2(20x + -10)
(10 * 3 + 5x * 3) = 2(20x + -10)
(30 + 15x) = 2(20x + -10)

Reorder the terms:
30 + 15x = 2(-10 + 20x)
30 + 15x = (-10 * 2 + 20x * 2)
30 + 15x = (-20 + 40x)

Solving
30 + 15x = -20 + 40x

Solving for variable 'x'.

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

Add '-40x' to each side of the equation.
30 + 15x + -40x = -20 + 40x + -40x

Combine like terms: 15x + -40x = -25x
30 + -25x = -20 + 40x + -40x

Combine like terms: 40x + -40x = 0
30 + -25x = -20 + 0
30 + -25x = -20

Add '-30' to each side of the equation.
30 + -30 + -25x = -20 + -30

Combine like terms: 30 + -30 = 0
0 + -25x = -20 + -30
-25x = -20 + -30

Combine like terms: -20 + -30 = -50
-25x = -50

Divide each side by '-25'.
x = 2

Simplifying
x = 2

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