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

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


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

Reorder the terms:
3(10 + 2x) = 2(2x + -10)
(10 * 3 + 2x * 3) = 2(2x + -10)
(30 + 6x) = 2(2x + -10)

Reorder the terms:
30 + 6x = 2(-10 + 2x)
30 + 6x = (-10 * 2 + 2x * 2)
30 + 6x = (-20 + 4x)

Solving
30 + 6x = -20 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
30 + 6x + -4x = -20 + 4x + -4x

Combine like terms: 6x + -4x = 2x
30 + 2x = -20 + 4x + -4x

Combine like terms: 4x + -4x = 0
30 + 2x = -20 + 0
30 + 2x = -20

Add '-30' to each side of the equation.
30 + -30 + 2x = -20 + -30

Combine like terms: 30 + -30 = 0
0 + 2x = -20 + -30
2x = -20 + -30

Combine like terms: -20 + -30 = -50
2x = -50

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

Simplifying
x = -25

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