8(3x-5)=10x+2

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Solution for 8(3x-5)=10x+2 equation:


Simplifying
8(3x + -5) = 10x + 2

Reorder the terms:
8(-5 + 3x) = 10x + 2
(-5 * 8 + 3x * 8) = 10x + 2
(-40 + 24x) = 10x + 2

Reorder the terms:
-40 + 24x = 2 + 10x

Solving
-40 + 24x = 2 + 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 + 24x + -10x = 2 + 10x + -10x

Combine like terms: 24x + -10x = 14x
-40 + 14x = 2 + 10x + -10x

Combine like terms: 10x + -10x = 0
-40 + 14x = 2 + 0
-40 + 14x = 2

Add '40' to each side of the equation.
-40 + 40 + 14x = 2 + 40

Combine like terms: -40 + 40 = 0
0 + 14x = 2 + 40
14x = 2 + 40

Combine like terms: 2 + 40 = 42
14x = 42

Divide each side by '14'.
x = 3

Simplifying
x = 3

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