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

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Solution for 4(x-2)+3=-6-(x+1) equation:


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

Reorder the terms:
4(-2 + x) + 3 = -6 + -1(x + 1)
(-2 * 4 + x * 4) + 3 = -6 + -1(x + 1)
(-8 + 4x) + 3 = -6 + -1(x + 1)

Reorder the terms:
-8 + 3 + 4x = -6 + -1(x + 1)

Combine like terms: -8 + 3 = -5
-5 + 4x = -6 + -1(x + 1)

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

Combine like terms: -6 + -1 = -7
-5 + 4x = -7 + -1x

Solving
-5 + 4x = -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.
-5 + 4x + x = -7 + -1x + x

Combine like terms: 4x + x = 5x
-5 + 5x = -7 + -1x + x

Combine like terms: -1x + x = 0
-5 + 5x = -7 + 0
-5 + 5x = -7

Add '5' to each side of the equation.
-5 + 5 + 5x = -7 + 5

Combine like terms: -5 + 5 = 0
0 + 5x = -7 + 5
5x = -7 + 5

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

Divide each side by '5'.
x = -0.4

Simplifying
x = -0.4

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