3(x+10)=2(3x+21)

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Solution for 3(x+10)=2(3x+21) equation:


Simplifying
3(x + 10) = 2(3x + 21)

Reorder the terms:
3(10 + x) = 2(3x + 21)
(10 * 3 + x * 3) = 2(3x + 21)
(30 + 3x) = 2(3x + 21)

Reorder the terms:
30 + 3x = 2(21 + 3x)
30 + 3x = (21 * 2 + 3x * 2)
30 + 3x = (42 + 6x)

Solving
30 + 3x = 42 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
30 + 3x + -6x = 42 + 6x + -6x

Combine like terms: 3x + -6x = -3x
30 + -3x = 42 + 6x + -6x

Combine like terms: 6x + -6x = 0
30 + -3x = 42 + 0
30 + -3x = 42

Add '-30' to each side of the equation.
30 + -30 + -3x = 42 + -30

Combine like terms: 30 + -30 = 0
0 + -3x = 42 + -30
-3x = 42 + -30

Combine like terms: 42 + -30 = 12
-3x = 12

Divide each side by '-3'.
x = -4

Simplifying
x = -4

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