3x+10=180-2(x+40)

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Solution for 3x+10=180-2(x+40) equation:


Simplifying
3x + 10 = 180 + -2(x + 40)

Reorder the terms:
10 + 3x = 180 + -2(x + 40)

Reorder the terms:
10 + 3x = 180 + -2(40 + x)
10 + 3x = 180 + (40 * -2 + x * -2)
10 + 3x = 180 + (-80 + -2x)

Combine like terms: 180 + -80 = 100
10 + 3x = 100 + -2x

Solving
10 + 3x = 100 + -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.
10 + 3x + 2x = 100 + -2x + 2x

Combine like terms: 3x + 2x = 5x
10 + 5x = 100 + -2x + 2x

Combine like terms: -2x + 2x = 0
10 + 5x = 100 + 0
10 + 5x = 100

Add '-10' to each side of the equation.
10 + -10 + 5x = 100 + -10

Combine like terms: 10 + -10 = 0
0 + 5x = 100 + -10
5x = 100 + -10

Combine like terms: 100 + -10 = 90
5x = 90

Divide each side by '5'.
x = 18

Simplifying
x = 18

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