-(4x+10)-6=-3(x-2)

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Solution for -(4x+10)-6=-3(x-2) equation:


Simplifying
-1(4x + 10) + -6 = -3(x + -2)

Reorder the terms:
-1(10 + 4x) + -6 = -3(x + -2)
(10 * -1 + 4x * -1) + -6 = -3(x + -2)
(-10 + -4x) + -6 = -3(x + -2)

Reorder the terms:
-10 + -6 + -4x = -3(x + -2)

Combine like terms: -10 + -6 = -16
-16 + -4x = -3(x + -2)

Reorder the terms:
-16 + -4x = -3(-2 + x)
-16 + -4x = (-2 * -3 + x * -3)
-16 + -4x = (6 + -3x)

Solving
-16 + -4x = 6 + -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.
-16 + -4x + 3x = 6 + -3x + 3x

Combine like terms: -4x + 3x = -1x
-16 + -1x = 6 + -3x + 3x

Combine like terms: -3x + 3x = 0
-16 + -1x = 6 + 0
-16 + -1x = 6

Add '16' to each side of the equation.
-16 + 16 + -1x = 6 + 16

Combine like terms: -16 + 16 = 0
0 + -1x = 6 + 16
-1x = 6 + 16

Combine like terms: 6 + 16 = 22
-1x = 22

Divide each side by '-1'.
x = -22

Simplifying
x = -22

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