-40(8-x)=4(x+10)

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Solution for -40(8-x)=4(x+10) equation:


Simplifying
-40(8 + -1x) = 4(x + 10)
(8 * -40 + -1x * -40) = 4(x + 10)
(-320 + 40x) = 4(x + 10)

Reorder the terms:
-320 + 40x = 4(10 + x)
-320 + 40x = (10 * 4 + x * 4)
-320 + 40x = (40 + 4x)

Solving
-320 + 40x = 40 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-320 + 40x + -4x = 40 + 4x + -4x

Combine like terms: 40x + -4x = 36x
-320 + 36x = 40 + 4x + -4x

Combine like terms: 4x + -4x = 0
-320 + 36x = 40 + 0
-320 + 36x = 40

Add '320' to each side of the equation.
-320 + 320 + 36x = 40 + 320

Combine like terms: -320 + 320 = 0
0 + 36x = 40 + 320
36x = 40 + 320

Combine like terms: 40 + 320 = 360
36x = 360

Divide each side by '36'.
x = 10

Simplifying
x = 10

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