4(2x-5)=x+1

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


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

Reorder the terms:
4(-5 + 2x) = x + 1
(-5 * 4 + 2x * 4) = x + 1
(-20 + 8x) = x + 1

Reorder the terms:
-20 + 8x = 1 + x

Solving
-20 + 8x = 1 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-20 + 8x + -1x = 1 + x + -1x

Combine like terms: 8x + -1x = 7x
-20 + 7x = 1 + x + -1x

Combine like terms: x + -1x = 0
-20 + 7x = 1 + 0
-20 + 7x = 1

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

Combine like terms: -20 + 20 = 0
0 + 7x = 1 + 20
7x = 1 + 20

Combine like terms: 1 + 20 = 21
7x = 21

Divide each side by '7'.
x = 3

Simplifying
x = 3

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