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

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


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

Reorder the terms:
5(4 + 3x) = 7(2 + 9x)
(4 * 5 + 3x * 5) = 7(2 + 9x)
(20 + 15x) = 7(2 + 9x)
20 + 15x = (2 * 7 + 9x * 7)
20 + 15x = (14 + 63x)

Solving
20 + 15x = 14 + 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 + 15x + -63x = 14 + 63x + -63x

Combine like terms: 15x + -63x = -48x
20 + -48x = 14 + 63x + -63x

Combine like terms: 63x + -63x = 0
20 + -48x = 14 + 0
20 + -48x = 14

Add '-20' to each side of the equation.
20 + -20 + -48x = 14 + -20

Combine like terms: 20 + -20 = 0
0 + -48x = 14 + -20
-48x = 14 + -20

Combine like terms: 14 + -20 = -6
-48x = -6

Divide each side by '-48'.
x = 0.125

Simplifying
x = 0.125

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