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

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


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

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

Reorder the terms:
5 + 10x + 3(3 + x) = 40
5 + 10x + (3 * 3 + x * 3) = 40
5 + 10x + (9 + 3x) = 40

Reorder the terms:
5 + 9 + 10x + 3x = 40

Combine like terms: 5 + 9 = 14
14 + 10x + 3x = 40

Combine like terms: 10x + 3x = 13x
14 + 13x = 40

Solving
14 + 13x = 40

Solving for variable 'x'.

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

Add '-14' to each side of the equation.
14 + -14 + 13x = 40 + -14

Combine like terms: 14 + -14 = 0
0 + 13x = 40 + -14
13x = 40 + -14

Combine like terms: 40 + -14 = 26
13x = 26

Divide each side by '13'.
x = 2

Simplifying
x = 2

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