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

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


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

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

Reorder the terms:
2 + 10 + 5x + -8x = 3

Combine like terms: 2 + 10 = 12
12 + 5x + -8x = 3

Combine like terms: 5x + -8x = -3x
12 + -3x = 3

Solving
12 + -3x = 3

Solving for variable 'x'.

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

Add '-12' to each side of the equation.
12 + -12 + -3x = 3 + -12

Combine like terms: 12 + -12 = 0
0 + -3x = 3 + -12
-3x = 3 + -12

Combine like terms: 3 + -12 = -9
-3x = -9

Divide each side by '-3'.
x = 3

Simplifying
x = 3

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