2(10+x)+4(20-x)=30

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Solution for 2(10+x)+4(20-x)=30 equation: 


Simplifying
2(10 + x) + 4(20 + -1x) = 30
(10 * 2 + x * 2) + 4(20 + -1x) = 30
(20 + 2x) + 4(20 + -1x) = 30
20 + 2x + (20 * 4 + -1x * 4) = 30
20 + 2x + (80 + -4x) = 30

Reorder the terms:
20 + 80 + 2x + -4x = 30

Combine like terms: 20 + 80 = 100
100 + 2x + -4x = 30

Combine like terms: 2x + -4x = -2x
100 + -2x = 30

Solving
100 + -2x = 30

Solving for variable 'x'.

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

Add '-100' to each side of the equation.
100 + -100 + -2x = 30 + -100

Combine like terms: 100 + -100 = 0
0 + -2x = 30 + -100
-2x = 30 + -100

Combine like terms: 30 + -100 = -70
-2x = -70

Divide each side by '-2'.
x = 35

Simplifying
x = 35

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