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

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


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

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

Reorder the terms:
-6 + 5x = 2(-5 + 4x) + -4
-6 + 5x = (-5 * 2 + 4x * 2) + -4
-6 + 5x = (-10 + 8x) + -4

Reorder the terms:
-6 + 5x = -10 + -4 + 8x

Combine like terms: -10 + -4 = -14
-6 + 5x = -14 + 8x

Solving
-6 + 5x = -14 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-6 + 5x + -8x = -14 + 8x + -8x

Combine like terms: 5x + -8x = -3x
-6 + -3x = -14 + 8x + -8x

Combine like terms: 8x + -8x = 0
-6 + -3x = -14 + 0
-6 + -3x = -14

Add '6' to each side of the equation.
-6 + 6 + -3x = -14 + 6

Combine like terms: -6 + 6 = 0
0 + -3x = -14 + 6
-3x = -14 + 6

Combine like terms: -14 + 6 = -8
-3x = -8

Divide each side by '-3'.
x = 2.666666667

Simplifying
x = 2.666666667

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