4-(x+3)=8-5(2x-3)

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Solution for 4-(x+3)=8-5(2x-3) equation:


Simplifying
4 + -1(x + 3) = 8 + -5(2x + -3)

Reorder the terms:
4 + -1(3 + x) = 8 + -5(2x + -3)
4 + (3 * -1 + x * -1) = 8 + -5(2x + -3)
4 + (-3 + -1x) = 8 + -5(2x + -3)

Combine like terms: 4 + -3 = 1
1 + -1x = 8 + -5(2x + -3)

Reorder the terms:
1 + -1x = 8 + -5(-3 + 2x)
1 + -1x = 8 + (-3 * -5 + 2x * -5)
1 + -1x = 8 + (15 + -10x)

Combine like terms: 8 + 15 = 23
1 + -1x = 23 + -10x

Solving
1 + -1x = 23 + -10x

Solving for variable 'x'.

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

Add '10x' to each side of the equation.
1 + -1x + 10x = 23 + -10x + 10x

Combine like terms: -1x + 10x = 9x
1 + 9x = 23 + -10x + 10x

Combine like terms: -10x + 10x = 0
1 + 9x = 23 + 0
1 + 9x = 23

Add '-1' to each side of the equation.
1 + -1 + 9x = 23 + -1

Combine like terms: 1 + -1 = 0
0 + 9x = 23 + -1
9x = 23 + -1

Combine like terms: 23 + -1 = 22
9x = 22

Divide each side by '9'.
x = 2.444444444

Simplifying
x = 2.444444444

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