2(5x-4)=3x+2

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Solution for 2(5x-4)=3x+2 equation:


Simplifying
2(5x + -4) = 3x + 2

Reorder the terms:
2(-4 + 5x) = 3x + 2
(-4 * 2 + 5x * 2) = 3x + 2
(-8 + 10x) = 3x + 2

Reorder the terms:
-8 + 10x = 2 + 3x

Solving
-8 + 10x = 2 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-8 + 10x + -3x = 2 + 3x + -3x

Combine like terms: 10x + -3x = 7x
-8 + 7x = 2 + 3x + -3x

Combine like terms: 3x + -3x = 0
-8 + 7x = 2 + 0
-8 + 7x = 2

Add '8' to each side of the equation.
-8 + 8 + 7x = 2 + 8

Combine like terms: -8 + 8 = 0
0 + 7x = 2 + 8
7x = 2 + 8

Combine like terms: 2 + 8 = 10
7x = 10

Divide each side by '7'.
x = 1.428571429

Simplifying
x = 1.428571429

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