9x-5=8(x-4)+6

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Solution for 9x-5=8(x-4)+6 equation:


Simplifying
9x + -5 = 8(x + -4) + 6

Reorder the terms:
-5 + 9x = 8(x + -4) + 6

Reorder the terms:
-5 + 9x = 8(-4 + x) + 6
-5 + 9x = (-4 * 8 + x * 8) + 6
-5 + 9x = (-32 + 8x) + 6

Reorder the terms:
-5 + 9x = -32 + 6 + 8x

Combine like terms: -32 + 6 = -26
-5 + 9x = -26 + 8x

Solving
-5 + 9x = -26 + 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.
-5 + 9x + -8x = -26 + 8x + -8x

Combine like terms: 9x + -8x = 1x
-5 + 1x = -26 + 8x + -8x

Combine like terms: 8x + -8x = 0
-5 + 1x = -26 + 0
-5 + 1x = -26

Add '5' to each side of the equation.
-5 + 5 + 1x = -26 + 5

Combine like terms: -5 + 5 = 0
0 + 1x = -26 + 5
1x = -26 + 5

Combine like terms: -26 + 5 = -21
1x = -21

Divide each side by '1'.
x = -21

Simplifying
x = -21

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