8(x+5)=13x+6

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Solution for 8(x+5)=13x+6 equation:


Simplifying
8(x + 5) = 13x + 6

Reorder the terms:
8(5 + x) = 13x + 6
(5 * 8 + x * 8) = 13x + 6
(40 + 8x) = 13x + 6

Reorder the terms:
40 + 8x = 6 + 13x

Solving
40 + 8x = 6 + 13x

Solving for variable 'x'.

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

Add '-13x' to each side of the equation.
40 + 8x + -13x = 6 + 13x + -13x

Combine like terms: 8x + -13x = -5x
40 + -5x = 6 + 13x + -13x

Combine like terms: 13x + -13x = 0
40 + -5x = 6 + 0
40 + -5x = 6

Add '-40' to each side of the equation.
40 + -40 + -5x = 6 + -40

Combine like terms: 40 + -40 = 0
0 + -5x = 6 + -40
-5x = 6 + -40

Combine like terms: 6 + -40 = -34
-5x = -34

Divide each side by '-5'.
x = 6.8

Simplifying
x = 6.8

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