-(x-1)10=-3(x-2)

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Solution for -(x-1)10=-3(x-2) equation:


Simplifying
-1(x + -1) * 10 = -3(x + -2)

Reorder the terms:
-1(-1 + x) * 10 = -3(x + -2)

Reorder the terms for easier multiplication:
-1 * 10(-1 + x) = -3(x + -2)

Multiply -1 * 10
-10(-1 + x) = -3(x + -2)
(-1 * -10 + x * -10) = -3(x + -2)
(10 + -10x) = -3(x + -2)

Reorder the terms:
10 + -10x = -3(-2 + x)
10 + -10x = (-2 * -3 + x * -3)
10 + -10x = (6 + -3x)

Solving
10 + -10x = 6 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
10 + -10x + 3x = 6 + -3x + 3x

Combine like terms: -10x + 3x = -7x
10 + -7x = 6 + -3x + 3x

Combine like terms: -3x + 3x = 0
10 + -7x = 6 + 0
10 + -7x = 6

Add '-10' to each side of the equation.
10 + -10 + -7x = 6 + -10

Combine like terms: 10 + -10 = 0
0 + -7x = 6 + -10
-7x = 6 + -10

Combine like terms: 6 + -10 = -4
-7x = -4

Divide each side by '-7'.
x = 0.5714285714

Simplifying
x = 0.5714285714

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