2(5x+1)+3(4x+2)=40

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Solution for 2(5x+1)+3(4x+2)=40 equation: 


Simplifying
2(5x + 1) + 3(4x + 2) = 40

Reorder the terms:
2(1 + 5x) + 3(4x + 2) = 40
(1 * 2 + 5x * 2) + 3(4x + 2) = 40
(2 + 10x) + 3(4x + 2) = 40

Reorder the terms:
2 + 10x + 3(2 + 4x) = 40
2 + 10x + (2 * 3 + 4x * 3) = 40
2 + 10x + (6 + 12x) = 40

Reorder the terms:
2 + 6 + 10x + 12x = 40

Combine like terms: 2 + 6 = 8
8 + 10x + 12x = 40

Combine like terms: 10x + 12x = 22x
8 + 22x = 40

Solving
8 + 22x = 40

Solving for variable 'x'.

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

Add '-8' to each side of the equation.
8 + -8 + 22x = 40 + -8

Combine like terms: 8 + -8 = 0
0 + 22x = 40 + -8
22x = 40 + -8

Combine like terms: 40 + -8 = 32
22x = 32

Divide each side by '22'.
x = 1.454545455

Simplifying
x = 1.454545455

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