5(x+4)+1(x-20)=20x+280

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Solution for 5(x+4)+1(x-20)=20x+280 equation: 


Simplifying
5(x + 4) + 1(x + -20) = 20x + 280

Reorder the terms:
5(4 + x) + 1(x + -20) = 20x + 280
(4 * 5 + x * 5) + 1(x + -20) = 20x + 280
(20 + 5x) + 1(x + -20) = 20x + 280

Reorder the terms:
20 + 5x + 1(-20 + x) = 20x + 280
20 + 5x + (-20 * 1 + x * 1) = 20x + 280
20 + 5x + (-20 + 1x) = 20x + 280

Reorder the terms:
20 + -20 + 5x + 1x = 20x + 280

Combine like terms: 20 + -20 = 0
0 + 5x + 1x = 20x + 280
5x + 1x = 20x + 280

Combine like terms: 5x + 1x = 6x
6x = 20x + 280

Reorder the terms:
6x = 280 + 20x

Solving
6x = 280 + 20x

Solving for variable 'x'.

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

Add '-20x' to each side of the equation.
6x + -20x = 280 + 20x + -20x

Combine like terms: 6x + -20x = -14x
-14x = 280 + 20x + -20x

Combine like terms: 20x + -20x = 0
-14x = 280 + 0
-14x = 280

Divide each side by '-14'.
x = -20

Simplifying
x = -20

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