5(x-2)+x-3=4+3-x

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Solution for 5(x-2)+x-3=4+3-x equation:


Simplifying
5(x + -2) + x + -3 = 4 + 3 + -1x

Reorder the terms:
5(-2 + x) + x + -3 = 4 + 3 + -1x
(-2 * 5 + x * 5) + x + -3 = 4 + 3 + -1x
(-10 + 5x) + x + -3 = 4 + 3 + -1x

Reorder the terms:
-10 + -3 + 5x + x = 4 + 3 + -1x

Combine like terms: -10 + -3 = -13
-13 + 5x + x = 4 + 3 + -1x

Combine like terms: 5x + x = 6x
-13 + 6x = 4 + 3 + -1x

Combine like terms: 4 + 3 = 7
-13 + 6x = 7 + -1x

Solving
-13 + 6x = 7 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-13 + 6x + x = 7 + -1x + x

Combine like terms: 6x + x = 7x
-13 + 7x = 7 + -1x + x

Combine like terms: -1x + x = 0
-13 + 7x = 7 + 0
-13 + 7x = 7

Add '13' to each side of the equation.
-13 + 13 + 7x = 7 + 13

Combine like terms: -13 + 13 = 0
0 + 7x = 7 + 13
7x = 7 + 13

Combine like terms: 7 + 13 = 20
7x = 20

Divide each side by '7'.
x = 2.857142857

Simplifying
x = 2.857142857

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