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

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


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

Reorder the terms:
40 = 20(5 + x) + 2(x + -3)
40 = (5 * 20 + x * 20) + 2(x + -3)
40 = (100 + 20x) + 2(x + -3)

Reorder the terms:
40 = 100 + 20x + 2(-3 + x)
40 = 100 + 20x + (-3 * 2 + x * 2)
40 = 100 + 20x + (-6 + 2x)

Reorder the terms:
40 = 100 + -6 + 20x + 2x

Combine like terms: 100 + -6 = 94
40 = 94 + 20x + 2x

Combine like terms: 20x + 2x = 22x
40 = 94 + 22x

Solving
40 = 94 + 22x

Solving for variable 'x'.

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

Add '-22x' to each side of the equation.
40 + -22x = 94 + 22x + -22x

Combine like terms: 22x + -22x = 0
40 + -22x = 94 + 0
40 + -22x = 94

Add '-40' to each side of the equation.
40 + -40 + -22x = 94 + -40

Combine like terms: 40 + -40 = 0
0 + -22x = 94 + -40
-22x = 94 + -40

Combine like terms: 94 + -40 = 54
-22x = 54

Divide each side by '-22'.
x = -2.454545455

Simplifying
x = -2.454545455

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