8x-2(x+5)=2x-1

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Solution for 8x-2(x+5)=2x-1 equation:


Simplifying
8x + -2(x + 5) = 2x + -1

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

Reorder the terms:
-10 + 8x + -2x = 2x + -1

Combine like terms: 8x + -2x = 6x
-10 + 6x = 2x + -1

Reorder the terms:
-10 + 6x = -1 + 2x

Solving
-10 + 6x = -1 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-10 + 6x + -2x = -1 + 2x + -2x

Combine like terms: 6x + -2x = 4x
-10 + 4x = -1 + 2x + -2x

Combine like terms: 2x + -2x = 0
-10 + 4x = -1 + 0
-10 + 4x = -1

Add '10' to each side of the equation.
-10 + 10 + 4x = -1 + 10

Combine like terms: -10 + 10 = 0
0 + 4x = -1 + 10
4x = -1 + 10

Combine like terms: -1 + 10 = 9
4x = 9

Divide each side by '4'.
x = 2.25

Simplifying
x = 2.25

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