5(x-1)-5=4(x+3)-6x

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Solution for 5(x-1)-5=4(x+3)-6x equation:


Simplifying
5(x + -1) + -5 = 4(x + 3) + -6x

Reorder the terms:
5(-1 + x) + -5 = 4(x + 3) + -6x
(-1 * 5 + x * 5) + -5 = 4(x + 3) + -6x
(-5 + 5x) + -5 = 4(x + 3) + -6x

Reorder the terms:
-5 + -5 + 5x = 4(x + 3) + -6x

Combine like terms: -5 + -5 = -10
-10 + 5x = 4(x + 3) + -6x

Reorder the terms:
-10 + 5x = 4(3 + x) + -6x
-10 + 5x = (3 * 4 + x * 4) + -6x
-10 + 5x = (12 + 4x) + -6x

Combine like terms: 4x + -6x = -2x
-10 + 5x = 12 + -2x

Solving
-10 + 5x = 12 + -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.
-10 + 5x + 2x = 12 + -2x + 2x

Combine like terms: 5x + 2x = 7x
-10 + 7x = 12 + -2x + 2x

Combine like terms: -2x + 2x = 0
-10 + 7x = 12 + 0
-10 + 7x = 12

Add '10' to each side of the equation.
-10 + 10 + 7x = 12 + 10

Combine like terms: -10 + 10 = 0
0 + 7x = 12 + 10
7x = 12 + 10

Combine like terms: 12 + 10 = 22
7x = 22

Divide each side by '7'.
x = 3.142857143

Simplifying
x = 3.142857143

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