3(20+x)-2(5+2x)=40

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Solution for 3(20+x)-2(5+2x)=40 equation: 


Simplifying
3(20 + x) + -2(5 + 2x) = 40
(20 * 3 + x * 3) + -2(5 + 2x) = 40
(60 + 3x) + -2(5 + 2x) = 40
60 + 3x + (5 * -2 + 2x * -2) = 40
60 + 3x + (-10 + -4x) = 40

Reorder the terms:
60 + -10 + 3x + -4x = 40

Combine like terms: 60 + -10 = 50
50 + 3x + -4x = 40

Combine like terms: 3x + -4x = -1x
50 + -1x = 40

Solving
50 + -1x = 40

Solving for variable 'x'.

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

Add '-50' to each side of the equation.
50 + -50 + -1x = 40 + -50

Combine like terms: 50 + -50 = 0
0 + -1x = 40 + -50
-1x = 40 + -50

Combine like terms: 40 + -50 = -10
-1x = -10

Divide each side by '-1'.
x = 10

Simplifying
x = 10

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