2(x+2)+3(x+1)=57

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Solution for 2(x+2)+3(x+1)=57 equation: 


Simplifying
2(x + 2) + 3(x + 1) = 57

Reorder the terms:
2(2 + x) + 3(x + 1) = 57
(2 * 2 + x * 2) + 3(x + 1) = 57
(4 + 2x) + 3(x + 1) = 57

Reorder the terms:
4 + 2x + 3(1 + x) = 57
4 + 2x + (1 * 3 + x * 3) = 57
4 + 2x + (3 + 3x) = 57

Reorder the terms:
4 + 3 + 2x + 3x = 57

Combine like terms: 4 + 3 = 7
7 + 2x + 3x = 57

Combine like terms: 2x + 3x = 5x
7 + 5x = 57

Solving
7 + 5x = 57

Solving for variable 'x'.

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

Add '-7' to each side of the equation.
7 + -7 + 5x = 57 + -7

Combine like terms: 7 + -7 = 0
0 + 5x = 57 + -7
5x = 57 + -7

Combine like terms: 57 + -7 = 50
5x = 50

Divide each side by '5'.
x = 10

Simplifying
x = 10

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