8(40+5x)=2(30+10x+40)

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Solution for 8(40+5x)=2(30+10x+40) equation:


Simplifying
8(40 + 5x) = 2(30 + 10x + 40)
(40 * 8 + 5x * 8) = 2(30 + 10x + 40)
(320 + 40x) = 2(30 + 10x + 40)

Reorder the terms:
320 + 40x = 2(30 + 40 + 10x)

Combine like terms: 30 + 40 = 70
320 + 40x = 2(70 + 10x)
320 + 40x = (70 * 2 + 10x * 2)
320 + 40x = (140 + 20x)

Solving
320 + 40x = 140 + 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.
320 + 40x + -20x = 140 + 20x + -20x

Combine like terms: 40x + -20x = 20x
320 + 20x = 140 + 20x + -20x

Combine like terms: 20x + -20x = 0
320 + 20x = 140 + 0
320 + 20x = 140

Add '-320' to each side of the equation.
320 + -320 + 20x = 140 + -320

Combine like terms: 320 + -320 = 0
0 + 20x = 140 + -320
20x = 140 + -320

Combine like terms: 140 + -320 = -180
20x = -180

Divide each side by '20'.
x = -9

Simplifying
x = -9

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