5(9x+2)=6(8x-1)-2

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Solution for 5(9x+2)=6(8x-1)-2 equation:


Simplifying
5(9x + 2) = 6(8x + -1) + -2

Reorder the terms:
5(2 + 9x) = 6(8x + -1) + -2
(2 * 5 + 9x * 5) = 6(8x + -1) + -2
(10 + 45x) = 6(8x + -1) + -2

Reorder the terms:
10 + 45x = 6(-1 + 8x) + -2
10 + 45x = (-1 * 6 + 8x * 6) + -2
10 + 45x = (-6 + 48x) + -2

Reorder the terms:
10 + 45x = -6 + -2 + 48x

Combine like terms: -6 + -2 = -8
10 + 45x = -8 + 48x

Solving
10 + 45x = -8 + 48x

Solving for variable 'x'.

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

Add '-48x' to each side of the equation.
10 + 45x + -48x = -8 + 48x + -48x

Combine like terms: 45x + -48x = -3x
10 + -3x = -8 + 48x + -48x

Combine like terms: 48x + -48x = 0
10 + -3x = -8 + 0
10 + -3x = -8

Add '-10' to each side of the equation.
10 + -10 + -3x = -8 + -10

Combine like terms: 10 + -10 = 0
0 + -3x = -8 + -10
-3x = -8 + -10

Combine like terms: -8 + -10 = -18
-3x = -18

Divide each side by '-3'.
x = 6

Simplifying
x = 6

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