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

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


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

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

Combine like terms: 3 + -10 = -7
-7 + 10x = 3(x + -2)

Reorder the terms:
-7 + 10x = 3(-2 + x)
-7 + 10x = (-2 * 3 + x * 3)
-7 + 10x = (-6 + 3x)

Solving
-7 + 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.
-7 + 10x + -3x = -6 + 3x + -3x

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

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

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

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

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

Divide each side by '7'.
x = 0.1428571429

Simplifying
x = 0.1428571429

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