2(x-3)+5=8(x-1)

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Solution for 2(x-3)+5=8(x-1) equation:


Simplifying
2(x + -3) + 5 = 8(x + -1)

Reorder the terms:
2(-3 + x) + 5 = 8(x + -1)
(-3 * 2 + x * 2) + 5 = 8(x + -1)
(-6 + 2x) + 5 = 8(x + -1)

Reorder the terms:
-6 + 5 + 2x = 8(x + -1)

Combine like terms: -6 + 5 = -1
-1 + 2x = 8(x + -1)

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

Solving
-1 + 2x = -8 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-1 + 2x + -8x = -8 + 8x + -8x

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

Combine like terms: 8x + -8x = 0
-1 + -6x = -8 + 0
-1 + -6x = -8

Add '1' to each side of the equation.
-1 + 1 + -6x = -8 + 1

Combine like terms: -1 + 1 = 0
0 + -6x = -8 + 1
-6x = -8 + 1

Combine like terms: -8 + 1 = -7
-6x = -7

Divide each side by '-6'.
x = 1.166666667

Simplifying
x = 1.166666667

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