7(9x+6)=8(8x+5)

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Solution for 7(9x+6)=8(8x+5) equation:


Simplifying
7(9x + 6) = 8(8x + 5)

Reorder the terms:
7(6 + 9x) = 8(8x + 5)
(6 * 7 + 9x * 7) = 8(8x + 5)
(42 + 63x) = 8(8x + 5)

Reorder the terms:
42 + 63x = 8(5 + 8x)
42 + 63x = (5 * 8 + 8x * 8)
42 + 63x = (40 + 64x)

Solving
42 + 63x = 40 + 64x

Solving for variable 'x'.

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

Add '-64x' to each side of the equation.
42 + 63x + -64x = 40 + 64x + -64x

Combine like terms: 63x + -64x = -1x
42 + -1x = 40 + 64x + -64x

Combine like terms: 64x + -64x = 0
42 + -1x = 40 + 0
42 + -1x = 40

Add '-42' to each side of the equation.
42 + -42 + -1x = 40 + -42

Combine like terms: 42 + -42 = 0
0 + -1x = 40 + -42
-1x = 40 + -42

Combine like terms: 40 + -42 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2

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