3(x+45)=2(x+40)+(2x)

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Solution for 3(x+45)=2(x+40)+(2x) equation: 


Simplifying
3(x + 45) = 2(x + 40) + (2x)

Reorder the terms:
3(45 + x) = 2(x + 40) + (2x)
(45 * 3 + x * 3) = 2(x + 40) + (2x)
(135 + 3x) = 2(x + 40) + (2x)

Reorder the terms:
135 + 3x = 2(40 + x) + (2x)
135 + 3x = (40 * 2 + x * 2) + (2x)
135 + 3x = (80 + 2x) + (2x)

Combine like terms: 2x + (2x) = 4x
135 + 3x = 80 + 4x

Solving
135 + 3x = 80 + 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.
135 + 3x + -4x = 80 + 4x + -4x

Combine like terms: 3x + -4x = -1x
135 + -1x = 80 + 4x + -4x

Combine like terms: 4x + -4x = 0
135 + -1x = 80 + 0
135 + -1x = 80

Add '-135' to each side of the equation.
135 + -135 + -1x = 80 + -135

Combine like terms: 135 + -135 = 0
0 + -1x = 80 + -135
-1x = 80 + -135

Combine like terms: 80 + -135 = -55
-1x = -55

Divide each side by '-1'.
x = 55

Simplifying
x = 55

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