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(x + 1)

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

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

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

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

Solving
-5 + 4x = -6 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
-5 + 4x + 6x = -6 + -6x + 6x

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

Combine like terms: -6x + 6x = 0
-5 + 10x = -6 + 0
-5 + 10x = -6

Add '5' to each side of the equation.
-5 + 5 + 10x = -6 + 5

Combine like terms: -5 + 5 = 0
0 + 10x = -6 + 5
10x = -6 + 5

Combine like terms: -6 + 5 = -1
10x = -1

Divide each side by '10'.
x = -0.1

Simplifying
x = -0.1

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