13(x+4)=8x+6

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Solution for 13(x+4)=8x+6 equation:


Simplifying
13(x + 4) = 8x + 6

Reorder the terms:
13(4 + x) = 8x + 6
(4 * 13 + x * 13) = 8x + 6
(52 + 13x) = 8x + 6

Reorder the terms:
52 + 13x = 6 + 8x

Solving
52 + 13x = 6 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
52 + 13x + -8x = 6 + 8x + -8x

Combine like terms: 13x + -8x = 5x
52 + 5x = 6 + 8x + -8x

Combine like terms: 8x + -8x = 0
52 + 5x = 6 + 0
52 + 5x = 6

Add '-52' to each side of the equation.
52 + -52 + 5x = 6 + -52

Combine like terms: 52 + -52 = 0
0 + 5x = 6 + -52
5x = 6 + -52

Combine like terms: 6 + -52 = -46
5x = -46

Divide each side by '5'.
x = -9.2

Simplifying
x = -9.2

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