-2x-5(x-6)=3x-4x

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Solution for -2x-5(x-6)=3x-4x equation:


Simplifying
-2x + -5(x + -6) = 3x + -4x

Reorder the terms:
-2x + -5(-6 + x) = 3x + -4x
-2x + (-6 * -5 + x * -5) = 3x + -4x
-2x + (30 + -5x) = 3x + -4x

Reorder the terms:
30 + -2x + -5x = 3x + -4x

Combine like terms: -2x + -5x = -7x
30 + -7x = 3x + -4x

Combine like terms: 3x + -4x = -1x
30 + -7x = -1x

Solving
30 + -7x = -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.
30 + -7x + x = -1x + x

Combine like terms: -7x + x = -6x
30 + -6x = -1x + x

Combine like terms: -1x + x = 0
30 + -6x = 0

Add '-30' to each side of the equation.
30 + -30 + -6x = 0 + -30

Combine like terms: 30 + -30 = 0
0 + -6x = 0 + -30
-6x = 0 + -30

Combine like terms: 0 + -30 = -30
-6x = -30

Divide each side by '-6'.
x = 5

Simplifying
x = 5

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