10x-(5x+4)=3x+20

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Solution for 10x-(5x+4)=3x+20 equation:


Simplifying
10x + -1(5x + 4) = 3x + 20

Reorder the terms:
10x + -1(4 + 5x) = 3x + 20
10x + (4 * -1 + 5x * -1) = 3x + 20
10x + (-4 + -5x) = 3x + 20

Reorder the terms:
-4 + 10x + -5x = 3x + 20

Combine like terms: 10x + -5x = 5x
-4 + 5x = 3x + 20

Reorder the terms:
-4 + 5x = 20 + 3x

Solving
-4 + 5x = 20 + 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.
-4 + 5x + -3x = 20 + 3x + -3x

Combine like terms: 5x + -3x = 2x
-4 + 2x = 20 + 3x + -3x

Combine like terms: 3x + -3x = 0
-4 + 2x = 20 + 0
-4 + 2x = 20

Add '4' to each side of the equation.
-4 + 4 + 2x = 20 + 4

Combine like terms: -4 + 4 = 0
0 + 2x = 20 + 4
2x = 20 + 4

Combine like terms: 20 + 4 = 24
2x = 24

Divide each side by '2'.
x = 12

Simplifying
x = 12

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