3(5x+39)=2(x+26)

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Solution for 3(5x+39)=2(x+26) equation:


Simplifying
3(5x + 39) = 2(x + 26)

Reorder the terms:
3(39 + 5x) = 2(x + 26)
(39 * 3 + 5x * 3) = 2(x + 26)
(117 + 15x) = 2(x + 26)

Reorder the terms:
117 + 15x = 2(26 + x)
117 + 15x = (26 * 2 + x * 2)
117 + 15x = (52 + 2x)

Solving
117 + 15x = 52 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
117 + 15x + -2x = 52 + 2x + -2x

Combine like terms: 15x + -2x = 13x
117 + 13x = 52 + 2x + -2x

Combine like terms: 2x + -2x = 0
117 + 13x = 52 + 0
117 + 13x = 52

Add '-117' to each side of the equation.
117 + -117 + 13x = 52 + -117

Combine like terms: 117 + -117 = 0
0 + 13x = 52 + -117
13x = 52 + -117

Combine like terms: 52 + -117 = -65
13x = -65

Divide each side by '13'.
x = -5

Simplifying
x = -5

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