8(9x-2)+3=7(2a-3x)

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Solution for 8(9x-2)+3=7(2a-3x) equation:


Simplifying
8(9x + -2) + 3 = 7(2a + -3x)

Reorder the terms:
8(-2 + 9x) + 3 = 7(2a + -3x)
(-2 * 8 + 9x * 8) + 3 = 7(2a + -3x)
(-16 + 72x) + 3 = 7(2a + -3x)

Reorder the terms:
-16 + 3 + 72x = 7(2a + -3x)

Combine like terms: -16 + 3 = -13
-13 + 72x = 7(2a + -3x)
-13 + 72x = (2a * 7 + -3x * 7)
-13 + 72x = (14a + -21x)

Solving
-13 + 72x = 14a + -21x

Solving for variable 'x'.

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

Add '21x' to each side of the equation.
-13 + 72x + 21x = 14a + -21x + 21x

Combine like terms: 72x + 21x = 93x
-13 + 93x = 14a + -21x + 21x

Combine like terms: -21x + 21x = 0
-13 + 93x = 14a + 0
-13 + 93x = 14a

Add '13' to each side of the equation.
-13 + 13 + 93x = 13 + 14a

Combine like terms: -13 + 13 = 0
0 + 93x = 13 + 14a
93x = 13 + 14a

Divide each side by '93'.
x = 0.1397849462 + 0.1505376344a

Simplifying
x = 0.1397849462 + 0.1505376344a

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