5(3x-8)=10x+6

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Solution for 5(3x-8)=10x+6 equation:


Simplifying
5(3x + -8) = 10x + 6

Reorder the terms:
5(-8 + 3x) = 10x + 6
(-8 * 5 + 3x * 5) = 10x + 6
(-40 + 15x) = 10x + 6

Reorder the terms:
-40 + 15x = 6 + 10x

Solving
-40 + 15x = 6 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
-40 + 15x + -10x = 6 + 10x + -10x

Combine like terms: 15x + -10x = 5x
-40 + 5x = 6 + 10x + -10x

Combine like terms: 10x + -10x = 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 = 46
5x = 46

Divide each side by '5'.
x = 9.2

Simplifying
x = 9.2

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