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

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Solution for 4-(2x+5)-8=2+3(x-1) equation:


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

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

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

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

Combine like terms: -1 + -8 = -9
-9 + -2x = 2 + 3(x + -1)

Reorder the terms:
-9 + -2x = 2 + 3(-1 + x)
-9 + -2x = 2 + (-1 * 3 + x * 3)
-9 + -2x = 2 + (-3 + 3x)

Combine like terms: 2 + -3 = -1
-9 + -2x = -1 + 3x

Solving
-9 + -2x = -1 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-9 + -2x + -3x = -1 + 3x + -3x

Combine like terms: -2x + -3x = -5x
-9 + -5x = -1 + 3x + -3x

Combine like terms: 3x + -3x = 0
-9 + -5x = -1 + 0
-9 + -5x = -1

Add '9' to each side of the equation.
-9 + 9 + -5x = -1 + 9

Combine like terms: -9 + 9 = 0
0 + -5x = -1 + 9
-5x = -1 + 9

Combine like terms: -1 + 9 = 8
-5x = 8

Divide each side by '-5'.
x = -1.6

Simplifying
x = -1.6

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