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

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


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

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

Combine like terms: 40 + 3 = 43
2(43 + 3x) = 5(3x + 1)
(43 * 2 + 3x * 2) = 5(3x + 1)
(86 + 6x) = 5(3x + 1)

Reorder the terms:
86 + 6x = 5(1 + 3x)
86 + 6x = (1 * 5 + 3x * 5)
86 + 6x = (5 + 15x)

Solving
86 + 6x = 5 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
86 + 6x + -15x = 5 + 15x + -15x

Combine like terms: 6x + -15x = -9x
86 + -9x = 5 + 15x + -15x

Combine like terms: 15x + -15x = 0
86 + -9x = 5 + 0
86 + -9x = 5

Add '-86' to each side of the equation.
86 + -86 + -9x = 5 + -86

Combine like terms: 86 + -86 = 0
0 + -9x = 5 + -86
-9x = 5 + -86

Combine like terms: 5 + -86 = -81
-9x = -81

Divide each side by '-9'.
x = 9

Simplifying
x = 9

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