8(3x-4)=(9x+3)+7

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


Simplifying
8(3x + -4) = (9x + 3) + 7

Reorder the terms:
8(-4 + 3x) = (9x + 3) + 7
(-4 * 8 + 3x * 8) = (9x + 3) + 7
(-32 + 24x) = (9x + 3) + 7

Reorder the terms:
-32 + 24x = (3 + 9x) + 7

Remove parenthesis around (3 + 9x)
-32 + 24x = 3 + 9x + 7

Reorder the terms:
-32 + 24x = 3 + 7 + 9x

Combine like terms: 3 + 7 = 10
-32 + 24x = 10 + 9x

Solving
-32 + 24x = 10 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
-32 + 24x + -9x = 10 + 9x + -9x

Combine like terms: 24x + -9x = 15x
-32 + 15x = 10 + 9x + -9x

Combine like terms: 9x + -9x = 0
-32 + 15x = 10 + 0
-32 + 15x = 10

Add '32' to each side of the equation.
-32 + 32 + 15x = 10 + 32

Combine like terms: -32 + 32 = 0
0 + 15x = 10 + 32
15x = 10 + 32

Combine like terms: 10 + 32 = 42
15x = 42

Divide each side by '15'.
x = 2.8

Simplifying
x = 2.8

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