4(3x+5)=9(7x+2)+8

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Solution for 4(3x+5)=9(7x+2)+8 equation:


Simplifying
4(3x + 5) = 9(7x + 2) + 8

Reorder the terms:
4(5 + 3x) = 9(7x + 2) + 8
(5 * 4 + 3x * 4) = 9(7x + 2) + 8
(20 + 12x) = 9(7x + 2) + 8

Reorder the terms:
20 + 12x = 9(2 + 7x) + 8
20 + 12x = (2 * 9 + 7x * 9) + 8
20 + 12x = (18 + 63x) + 8

Reorder the terms:
20 + 12x = 18 + 8 + 63x

Combine like terms: 18 + 8 = 26
20 + 12x = 26 + 63x

Solving
20 + 12x = 26 + 63x

Solving for variable 'x'.

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

Add '-63x' to each side of the equation.
20 + 12x + -63x = 26 + 63x + -63x

Combine like terms: 12x + -63x = -51x
20 + -51x = 26 + 63x + -63x

Combine like terms: 63x + -63x = 0
20 + -51x = 26 + 0
20 + -51x = 26

Add '-20' to each side of the equation.
20 + -20 + -51x = 26 + -20

Combine like terms: 20 + -20 = 0
0 + -51x = 26 + -20
-51x = 26 + -20

Combine like terms: 26 + -20 = 6
-51x = 6

Divide each side by '-51'.
x = -0.1176470588

Simplifying
x = -0.1176470588

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