5(x-4)+2x=4x-1

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Solution for 5(x-4)+2x=4x-1 equation:


Simplifying
5(x + -4) + 2x = 4x + -1

Reorder the terms:
5(-4 + x) + 2x = 4x + -1
(-4 * 5 + x * 5) + 2x = 4x + -1
(-20 + 5x) + 2x = 4x + -1

Combine like terms: 5x + 2x = 7x
-20 + 7x = 4x + -1

Reorder the terms:
-20 + 7x = -1 + 4x

Solving
-20 + 7x = -1 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-20 + 7x + -4x = -1 + 4x + -4x

Combine like terms: 7x + -4x = 3x
-20 + 3x = -1 + 4x + -4x

Combine like terms: 4x + -4x = 0
-20 + 3x = -1 + 0
-20 + 3x = -1

Add '20' to each side of the equation.
-20 + 20 + 3x = -1 + 20

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

Combine like terms: -1 + 20 = 19
3x = 19

Divide each side by '3'.
x = 6.333333333

Simplifying
x = 6.333333333

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