7(x-8)=6(2x-1)+4

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Solution for 7(x-8)=6(2x-1)+4 equation:


Simplifying
7(x + -8) = 6(2x + -1) + 4

Reorder the terms:
7(-8 + x) = 6(2x + -1) + 4
(-8 * 7 + x * 7) = 6(2x + -1) + 4
(-56 + 7x) = 6(2x + -1) + 4

Reorder the terms:
-56 + 7x = 6(-1 + 2x) + 4
-56 + 7x = (-1 * 6 + 2x * 6) + 4
-56 + 7x = (-6 + 12x) + 4

Reorder the terms:
-56 + 7x = -6 + 4 + 12x

Combine like terms: -6 + 4 = -2
-56 + 7x = -2 + 12x

Solving
-56 + 7x = -2 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
-56 + 7x + -12x = -2 + 12x + -12x

Combine like terms: 7x + -12x = -5x
-56 + -5x = -2 + 12x + -12x

Combine like terms: 12x + -12x = 0
-56 + -5x = -2 + 0
-56 + -5x = -2

Add '56' to each side of the equation.
-56 + 56 + -5x = -2 + 56

Combine like terms: -56 + 56 = 0
0 + -5x = -2 + 56
-5x = -2 + 56

Combine like terms: -2 + 56 = 54
-5x = 54

Divide each side by '-5'.
x = -10.8

Simplifying
x = -10.8

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