-(4x+5)-(-3x-6)=-6

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Solution for -(4x+5)-(-3x-6)=-6 equation:


Simplifying
-1(4x + 5) + -1(-3x + -6) = -6

Reorder the terms:
-1(5 + 4x) + -1(-3x + -6) = -6
(5 * -1 + 4x * -1) + -1(-3x + -6) = -6
(-5 + -4x) + -1(-3x + -6) = -6

Reorder the terms:
-5 + -4x + -1(-6 + -3x) = -6
-5 + -4x + (-6 * -1 + -3x * -1) = -6
-5 + -4x + (6 + 3x) = -6

Reorder the terms:
-5 + 6 + -4x + 3x = -6

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

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

Solving
1 + -1x = -6

Solving for variable 'x'.

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

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

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

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

Divide each side by '-1'.
x = 7

Simplifying
x = 7

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