2(2x+1)+3(4x+5)=57

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Solution for 2(2x+1)+3(4x+5)=57 equation: 


Simplifying
2(2x + 1) + 3(4x + 5) = 57

Reorder the terms:
2(1 + 2x) + 3(4x + 5) = 57
(1 * 2 + 2x * 2) + 3(4x + 5) = 57
(2 + 4x) + 3(4x + 5) = 57

Reorder the terms:
2 + 4x + 3(5 + 4x) = 57
2 + 4x + (5 * 3 + 4x * 3) = 57
2 + 4x + (15 + 12x) = 57

Reorder the terms:
2 + 15 + 4x + 12x = 57

Combine like terms: 2 + 15 = 17
17 + 4x + 12x = 57

Combine like terms: 4x + 12x = 16x
17 + 16x = 57

Solving
17 + 16x = 57

Solving for variable 'x'.

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

Add '-17' to each side of the equation.
17 + -17 + 16x = 57 + -17

Combine like terms: 17 + -17 = 0
0 + 16x = 57 + -17
16x = 57 + -17

Combine like terms: 57 + -17 = 40
16x = 40

Divide each side by '16'.
x = 2.5

Simplifying
x = 2.5

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