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

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Solution for 4x-5=3(x-1)-6 equation:


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

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

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

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

Combine like terms: -3 + -6 = -9
-5 + 4x = -9 + 3x

Solving
-5 + 4x = -9 + 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.
-5 + 4x + -3x = -9 + 3x + -3x

Combine like terms: 4x + -3x = 1x
-5 + 1x = -9 + 3x + -3x

Combine like terms: 3x + -3x = 0
-5 + 1x = -9 + 0
-5 + 1x = -9

Add '5' to each side of the equation.
-5 + 5 + 1x = -9 + 5

Combine like terms: -5 + 5 = 0
0 + 1x = -9 + 5
1x = -9 + 5

Combine like terms: -9 + 5 = -4
1x = -4

Divide each side by '1'.
x = -4

Simplifying
x = -4

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