40-5(2x-20)=30-5x+10

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Solution for 40-5(2x-20)=30-5x+10 equation:


Simplifying
40 + -5(2x + -20) = 30 + -5x + 10

Reorder the terms:
40 + -5(-20 + 2x) = 30 + -5x + 10
40 + (-20 * -5 + 2x * -5) = 30 + -5x + 10
40 + (100 + -10x) = 30 + -5x + 10

Combine like terms: 40 + 100 = 140
140 + -10x = 30 + -5x + 10

Reorder the terms:
140 + -10x = 30 + 10 + -5x

Combine like terms: 30 + 10 = 40
140 + -10x = 40 + -5x

Solving
140 + -10x = 40 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
140 + -10x + 5x = 40 + -5x + 5x

Combine like terms: -10x + 5x = -5x
140 + -5x = 40 + -5x + 5x

Combine like terms: -5x + 5x = 0
140 + -5x = 40 + 0
140 + -5x = 40

Add '-140' to each side of the equation.
140 + -140 + -5x = 40 + -140

Combine like terms: 140 + -140 = 0
0 + -5x = 40 + -140
-5x = 40 + -140

Combine like terms: 40 + -140 = -100
-5x = -100

Divide each side by '-5'.
x = 20

Simplifying
x = 20

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