9(x-3)+8(x+6)=4(8-7x)

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Solution for 9(x-3)+8(x+6)=4(8-7x) equation:


Simplifying
9(x + -3) + 8(x + 6) = 4(8 + -7x)

Reorder the terms:
9(-3 + x) + 8(x + 6) = 4(8 + -7x)
(-3 * 9 + x * 9) + 8(x + 6) = 4(8 + -7x)
(-27 + 9x) + 8(x + 6) = 4(8 + -7x)

Reorder the terms:
-27 + 9x + 8(6 + x) = 4(8 + -7x)
-27 + 9x + (6 * 8 + x * 8) = 4(8 + -7x)
-27 + 9x + (48 + 8x) = 4(8 + -7x)

Reorder the terms:
-27 + 48 + 9x + 8x = 4(8 + -7x)

Combine like terms: -27 + 48 = 21
21 + 9x + 8x = 4(8 + -7x)

Combine like terms: 9x + 8x = 17x
21 + 17x = 4(8 + -7x)
21 + 17x = (8 * 4 + -7x * 4)
21 + 17x = (32 + -28x)

Solving
21 + 17x = 32 + -28x

Solving for variable 'x'.

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

Add '28x' to each side of the equation.
21 + 17x + 28x = 32 + -28x + 28x

Combine like terms: 17x + 28x = 45x
21 + 45x = 32 + -28x + 28x

Combine like terms: -28x + 28x = 0
21 + 45x = 32 + 0
21 + 45x = 32

Add '-21' to each side of the equation.
21 + -21 + 45x = 32 + -21

Combine like terms: 21 + -21 = 0
0 + 45x = 32 + -21
45x = 32 + -21

Combine like terms: 32 + -21 = 11
45x = 11

Divide each side by '45'.
x = 0.2444444444

Simplifying
x = 0.2444444444

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