3*9x+1=4*5x-8

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Solution for 3*9x+1=4*5x-8 equation:


Simplifying
3 * 9x + 1 = 4 * 5x + -8

Multiply 3 * 9
27x + 1 = 4 * 5x + -8

Reorder the terms:
1 + 27x = 4 * 5x + -8

Multiply 4 * 5
1 + 27x = 20x + -8

Reorder the terms:
1 + 27x = -8 + 20x

Solving
1 + 27x = -8 + 20x

Solving for variable 'x'.

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

Add '-20x' to each side of the equation.
1 + 27x + -20x = -8 + 20x + -20x

Combine like terms: 27x + -20x = 7x
1 + 7x = -8 + 20x + -20x

Combine like terms: 20x + -20x = 0
1 + 7x = -8 + 0
1 + 7x = -8

Add '-1' to each side of the equation.
1 + -1 + 7x = -8 + -1

Combine like terms: 1 + -1 = 0
0 + 7x = -8 + -1
7x = -8 + -1

Combine like terms: -8 + -1 = -9
7x = -9

Divide each side by '7'.
x = -1.285714286

Simplifying
x = -1.285714286

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