2(5x-4)=x+1

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


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

Reorder the terms:
2(-4 + 5x) = x + 1
(-4 * 2 + 5x * 2) = x + 1
(-8 + 10x) = x + 1

Reorder the terms:
-8 + 10x = 1 + x

Solving
-8 + 10x = 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.
-8 + 10x + -1x = 1 + x + -1x

Combine like terms: 10x + -1x = 9x
-8 + 9x = 1 + x + -1x

Combine like terms: x + -1x = 0
-8 + 9x = 1 + 0
-8 + 9x = 1

Add '8' to each side of the equation.
-8 + 8 + 9x = 1 + 8

Combine like terms: -8 + 8 = 0
0 + 9x = 1 + 8
9x = 1 + 8

Combine like terms: 1 + 8 = 9
9x = 9

Divide each side by '9'.
x = 1

Simplifying
x = 1

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