5(x-4)-(3x+1)=

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Solution for 5(x-4)-(3x+1)= equation:


Simplifying
5(x + -4) + -1(3x + 1) = 0

Reorder the terms:
5(-4 + x) + -1(3x + 1) = 0
(-4 * 5 + x * 5) + -1(3x + 1) = 0
(-20 + 5x) + -1(3x + 1) = 0

Reorder the terms:
-20 + 5x + -1(1 + 3x) = 0
-20 + 5x + (1 * -1 + 3x * -1) = 0
-20 + 5x + (-1 + -3x) = 0

Reorder the terms:
-20 + -1 + 5x + -3x = 0

Combine like terms: -20 + -1 = -21
-21 + 5x + -3x = 0

Combine like terms: 5x + -3x = 2x
-21 + 2x = 0

Solving
-21 + 2x = 0

Solving for variable 'x'.

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

Add '21' to each side of the equation.
-21 + 21 + 2x = 0 + 21

Combine like terms: -21 + 21 = 0
0 + 2x = 0 + 21
2x = 0 + 21

Combine like terms: 0 + 21 = 21
2x = 21

Divide each side by '2'.
x = 10.5

Simplifying
x = 10.5

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