6-5(x-1)=2x+3

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Solution for 6-5(x-1)=2x+3 equation:


Simplifying
6 + -5(x + -1) = 2x + 3

Reorder the terms:
6 + -5(-1 + x) = 2x + 3
6 + (-1 * -5 + x * -5) = 2x + 3
6 + (5 + -5x) = 2x + 3

Combine like terms: 6 + 5 = 11
11 + -5x = 2x + 3

Reorder the terms:
11 + -5x = 3 + 2x

Solving
11 + -5x = 3 + 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.
11 + -5x + -2x = 3 + 2x + -2x

Combine like terms: -5x + -2x = -7x
11 + -7x = 3 + 2x + -2x

Combine like terms: 2x + -2x = 0
11 + -7x = 3 + 0
11 + -7x = 3

Add '-11' to each side of the equation.
11 + -11 + -7x = 3 + -11

Combine like terms: 11 + -11 = 0
0 + -7x = 3 + -11
-7x = 3 + -11

Combine like terms: 3 + -11 = -8
-7x = -8

Divide each side by '-7'.
x = 1.142857143

Simplifying
x = 1.142857143

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