5(x+4)+3x=4x-30+2x

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Solution for 5(x+4)+3x=4x-30+2x equation:


Simplifying
5(x + 4) + 3x = 4x + -30 + 2x

Reorder the terms:
5(4 + x) + 3x = 4x + -30 + 2x
(4 * 5 + x * 5) + 3x = 4x + -30 + 2x
(20 + 5x) + 3x = 4x + -30 + 2x

Combine like terms: 5x + 3x = 8x
20 + 8x = 4x + -30 + 2x

Reorder the terms:
20 + 8x = -30 + 4x + 2x

Combine like terms: 4x + 2x = 6x
20 + 8x = -30 + 6x

Solving
20 + 8x = -30 + 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.
20 + 8x + -6x = -30 + 6x + -6x

Combine like terms: 8x + -6x = 2x
20 + 2x = -30 + 6x + -6x

Combine like terms: 6x + -6x = 0
20 + 2x = -30 + 0
20 + 2x = -30

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

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

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

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

Simplifying
x = -25

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