3(30+x)=4(x+19)

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Solution for 3(30+x)=4(x+19) equation: 


Simplifying
3(30 + x) = 4(x + 19)
(30 * 3 + x * 3) = 4(x + 19)
(90 + 3x) = 4(x + 19)

Reorder the terms:
90 + 3x = 4(19 + x)
90 + 3x = (19 * 4 + x * 4)
90 + 3x = (76 + 4x)

Solving
90 + 3x = 76 + 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.
90 + 3x + -4x = 76 + 4x + -4x

Combine like terms: 3x + -4x = -1x
90 + -1x = 76 + 4x + -4x

Combine like terms: 4x + -4x = 0
90 + -1x = 76 + 0
90 + -1x = 76

Add '-90' to each side of the equation.
90 + -90 + -1x = 76 + -90

Combine like terms: 90 + -90 = 0
0 + -1x = 76 + -90
-1x = 76 + -90

Combine like terms: 76 + -90 = -14
-1x = -14

Divide each side by '-1'.
x = 14

Simplifying
x = 14

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