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

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


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

Reorder the terms:
2(-5 + 4x) + -6 = 3(x + -4)
(-5 * 2 + 4x * 2) + -6 = 3(x + -4)
(-10 + 8x) + -6 = 3(x + -4)

Reorder the terms:
-10 + -6 + 8x = 3(x + -4)

Combine like terms: -10 + -6 = -16
-16 + 8x = 3(x + -4)

Reorder the terms:
-16 + 8x = 3(-4 + x)
-16 + 8x = (-4 * 3 + x * 3)
-16 + 8x = (-12 + 3x)

Solving
-16 + 8x = -12 + 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 + 8x + -3x = -12 + 3x + -3x

Combine like terms: 8x + -3x = 5x
-16 + 5x = -12 + 3x + -3x

Combine like terms: 3x + -3x = 0
-16 + 5x = -12 + 0
-16 + 5x = -12

Add '16' to each side of the equation.
-16 + 16 + 5x = -12 + 16

Combine like terms: -16 + 16 = 0
0 + 5x = -12 + 16
5x = -12 + 16

Combine like terms: -12 + 16 = 4
5x = 4

Divide each side by '5'.
x = 0.8

Simplifying
x = 0.8

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