1(x-7)+8=2(x-1)

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Solution for 1(x-7)+8=2(x-1) equation: 


Simplifying
1(x + -7) + 8 = 2(x + -1)

Reorder the terms:
1(-7 + x) + 8 = 2(x + -1)
(-7 * 1 + x * 1) + 8 = 2(x + -1)
(-7 + 1x) + 8 = 2(x + -1)

Reorder the terms:
-7 + 8 + 1x = 2(x + -1)

Combine like terms: -7 + 8 = 1
1 + 1x = 2(x + -1)

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

Solving
1 + 1x = -2 + 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.
1 + 1x + -2x = -2 + 2x + -2x

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

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

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

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

Combine like terms: -2 + -1 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3

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