5(x-3)+8x=6x-5+x+14

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Solution for 5(x-3)+8x=6x-5+x+14 equation:


Simplifying
5(x + -3) + 8x = 6x + -5 + x + 14

Reorder the terms:
5(-3 + x) + 8x = 6x + -5 + x + 14
(-3 * 5 + x * 5) + 8x = 6x + -5 + x + 14
(-15 + 5x) + 8x = 6x + -5 + x + 14

Combine like terms: 5x + 8x = 13x
-15 + 13x = 6x + -5 + x + 14

Reorder the terms:
-15 + 13x = -5 + 14 + 6x + x

Combine like terms: -5 + 14 = 9
-15 + 13x = 9 + 6x + x

Combine like terms: 6x + x = 7x
-15 + 13x = 9 + 7x

Solving
-15 + 13x = 9 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-15 + 13x + -7x = 9 + 7x + -7x

Combine like terms: 13x + -7x = 6x
-15 + 6x = 9 + 7x + -7x

Combine like terms: 7x + -7x = 0
-15 + 6x = 9 + 0
-15 + 6x = 9

Add '15' to each side of the equation.
-15 + 15 + 6x = 9 + 15

Combine like terms: -15 + 15 = 0
0 + 6x = 9 + 15
6x = 9 + 15

Combine like terms: 9 + 15 = 24
6x = 24

Divide each side by '6'.
x = 4

Simplifying
x = 4

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