180=2(2x+2)+3x+1

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Solution for 180=2(2x+2)+3x+1 equation:


Simplifying
180 = 2(2x + 2) + 3x + 1

Reorder the terms:
180 = 2(2 + 2x) + 3x + 1
180 = (2 * 2 + 2x * 2) + 3x + 1
180 = (4 + 4x) + 3x + 1

Reorder the terms:
180 = 4 + 1 + 4x + 3x

Combine like terms: 4 + 1 = 5
180 = 5 + 4x + 3x

Combine like terms: 4x + 3x = 7x
180 = 5 + 7x

Solving
180 = 5 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
180 + -7x = 5 + 7x + -7x

Combine like terms: 7x + -7x = 0
180 + -7x = 5 + 0
180 + -7x = 5

Add '-180' to each side of the equation.
180 + -180 + -7x = 5 + -180

Combine like terms: 180 + -180 = 0
0 + -7x = 5 + -180
-7x = 5 + -180

Combine like terms: 5 + -180 = -175
-7x = -175

Divide each side by '-7'.
x = 25

Simplifying
x = 25

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