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2x+2x+3x+2\times 2^{2}=180
Multiply both sides of the equation by 2.
2x+2x+3x+2^{3}=180
To multiply powers of the same base, add their exponents. Add 1 and 2 to get 3.
4x+3x+2^{3}=180
Combine 2x and 2x to get 4x.
7x+2^{3}=180
Combine 4x and 3x to get 7x.
7x+8=180
Calculate 2 to the power of 3 and get 8.
7x=180-8
Subtract 8 from both sides.
7x=172
Subtract 8 from 180 to get 172.
x=\frac{172}{7}
Divide both sides by 7.