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

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


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

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

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

Combine like terms: -2 + 3 = 1
1 + 1x = 8(x + -1)

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

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

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

Combine like terms: 8x + -8x = 0
1 + -7x = -8 + 0
1 + -7x = -8

Add '-1' to each side of the equation.
1 + -1 + -7x = -8 + -1

Combine like terms: 1 + -1 = 0
0 + -7x = -8 + -1
-7x = -8 + -1

Combine like terms: -8 + -1 = -9
-7x = -9

Divide each side by '-7'.
x = 1.285714286

Simplifying
x = 1.285714286

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