3(x+10)=2(2x+19)

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Solution for 3(x+10)=2(2x+19) equation:


Simplifying
3(x + 10) = 2(2x + 19)

Reorder the terms:
3(10 + x) = 2(2x + 19)
(10 * 3 + x * 3) = 2(2x + 19)
(30 + 3x) = 2(2x + 19)

Reorder the terms:
30 + 3x = 2(19 + 2x)
30 + 3x = (19 * 2 + 2x * 2)
30 + 3x = (38 + 4x)

Solving
30 + 3x = 38 + 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 + 3x + -4x = 38 + 4x + -4x

Combine like terms: 3x + -4x = -1x
30 + -1x = 38 + 4x + -4x

Combine like terms: 4x + -4x = 0
30 + -1x = 38 + 0
30 + -1x = 38

Add '-30' to each side of the equation.
30 + -30 + -1x = 38 + -30

Combine like terms: 30 + -30 = 0
0 + -1x = 38 + -30
-1x = 38 + -30

Combine like terms: 38 + -30 = 8
-1x = 8

Divide each side by '-1'.
x = -8

Simplifying
x = -8

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