4(x+10)=3x-10+2x+20

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Solution for 4(x+10)=3x-10+2x+20 equation: 


Simplifying
4(x + 10) = 3x + -10 + 2x + 20

Reorder the terms:
4(10 + x) = 3x + -10 + 2x + 20
(10 * 4 + x * 4) = 3x + -10 + 2x + 20
(40 + 4x) = 3x + -10 + 2x + 20

Reorder the terms:
40 + 4x = -10 + 20 + 3x + 2x

Combine like terms: -10 + 20 = 10
40 + 4x = 10 + 3x + 2x

Combine like terms: 3x + 2x = 5x
40 + 4x = 10 + 5x

Solving
40 + 4x = 10 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
40 + 4x + -5x = 10 + 5x + -5x

Combine like terms: 4x + -5x = -1x
40 + -1x = 10 + 5x + -5x

Combine like terms: 5x + -5x = 0
40 + -1x = 10 + 0
40 + -1x = 10

Add '-40' to each side of the equation.
40 + -40 + -1x = 10 + -40

Combine like terms: 40 + -40 = 0
0 + -1x = 10 + -40
-1x = 10 + -40

Combine like terms: 10 + -40 = -30
-1x = -30

Divide each side by '-1'.
x = 30

Simplifying
x = 30

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