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

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


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

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

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

Solving
30 + 3x = -6 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
30 + 3x + -2x = -6 + 2x + -2x

Combine like terms: 3x + -2x = 1x
30 + 1x = -6 + 2x + -2x

Combine like terms: 2x + -2x = 0
30 + 1x = -6 + 0
30 + 1x = -6

Add '-30' to each side of the equation.
30 + -30 + 1x = -6 + -30

Combine like terms: 30 + -30 = 0
0 + 1x = -6 + -30
1x = -6 + -30

Combine like terms: -6 + -30 = -36
1x = -36

Divide each side by '1'.
x = -36

Simplifying
x = -36

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