3(x+50)-10=2(x+20)

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Solution for 3(x+50)-10=2(x+20) equation: 


Simplifying
3(x + 50) + -10 = 2(x + 20)

Reorder the terms:
3(50 + x) + -10 = 2(x + 20)
(50 * 3 + x * 3) + -10 = 2(x + 20)
(150 + 3x) + -10 = 2(x + 20)

Reorder the terms:
150 + -10 + 3x = 2(x + 20)

Combine like terms: 150 + -10 = 140
140 + 3x = 2(x + 20)

Reorder the terms:
140 + 3x = 2(20 + x)
140 + 3x = (20 * 2 + x * 2)
140 + 3x = (40 + 2x)

Solving
140 + 3x = 40 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
140 + 3x + -2x = 40 + 2x + -2x

Combine like terms: 3x + -2x = 1x
140 + 1x = 40 + 2x + -2x

Combine like terms: 2x + -2x = 0
140 + 1x = 40 + 0
140 + 1x = 40

Add '-140' to each side of the equation.
140 + -140 + 1x = 40 + -140

Combine like terms: 140 + -140 = 0
0 + 1x = 40 + -140
1x = 40 + -140

Combine like terms: 40 + -140 = -100
1x = -100

Divide each side by '1'.
x = -100

Simplifying
x = -100

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