1+2(x-1)=5x-6

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Solution for 1+2(x-1)=5x-6 equation:


Simplifying
1 + 2(x + -1) = 5x + -6

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

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

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

Solving
-1 + 2x = -6 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-1 + 2x + -5x = -6 + 5x + -5x

Combine like terms: 2x + -5x = -3x
-1 + -3x = -6 + 5x + -5x

Combine like terms: 5x + -5x = 0
-1 + -3x = -6 + 0
-1 + -3x = -6

Add '1' to each side of the equation.
-1 + 1 + -3x = -6 + 1

Combine like terms: -1 + 1 = 0
0 + -3x = -6 + 1
-3x = -6 + 1

Combine like terms: -6 + 1 = -5
-3x = -5

Divide each side by '-3'.
x = 1.666666667

Simplifying
x = 1.666666667

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