2x-5(4-x)=3x+8

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Solution for 2x-5(4-x)=3x+8 equation:


Simplifying
2x + -5(4 + -1x) = 3x + 8
2x + (4 * -5 + -1x * -5) = 3x + 8
2x + (-20 + 5x) = 3x + 8

Reorder the terms:
-20 + 2x + 5x = 3x + 8

Combine like terms: 2x + 5x = 7x
-20 + 7x = 3x + 8

Reorder the terms:
-20 + 7x = 8 + 3x

Solving
-20 + 7x = 8 + 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.
-20 + 7x + -3x = 8 + 3x + -3x

Combine like terms: 7x + -3x = 4x
-20 + 4x = 8 + 3x + -3x

Combine like terms: 3x + -3x = 0
-20 + 4x = 8 + 0
-20 + 4x = 8

Add '20' to each side of the equation.
-20 + 20 + 4x = 8 + 20

Combine like terms: -20 + 20 = 0
0 + 4x = 8 + 20
4x = 8 + 20

Combine like terms: 8 + 20 = 28
4x = 28

Divide each side by '4'.
x = 7

Simplifying
x = 7

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