9+3[2+3(4x-3)]=8(x+7)

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Solution for 9+3[2+3(4x-3)]=8(x+7) equation:


Simplifying
9 + 3[2 + 3(4x + -3)] = 8(x + 7)

Reorder the terms:
9 + 3[2 + 3(-3 + 4x)] = 8(x + 7)
9 + 3[2 + (-3 * 3 + 4x * 3)] = 8(x + 7)
9 + 3[2 + (-9 + 12x)] = 8(x + 7)

Combine like terms: 2 + -9 = -7
9 + 3[-7 + 12x] = 8(x + 7)
9 + [-7 * 3 + 12x * 3] = 8(x + 7)
9 + [-21 + 36x] = 8(x + 7)

Combine like terms: 9 + -21 = -12
-12 + 36x = 8(x + 7)

Reorder the terms:
-12 + 36x = 8(7 + x)
-12 + 36x = (7 * 8 + x * 8)
-12 + 36x = (56 + 8x)

Solving
-12 + 36x = 56 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-12 + 36x + -8x = 56 + 8x + -8x

Combine like terms: 36x + -8x = 28x
-12 + 28x = 56 + 8x + -8x

Combine like terms: 8x + -8x = 0
-12 + 28x = 56 + 0
-12 + 28x = 56

Add '12' to each side of the equation.
-12 + 12 + 28x = 56 + 12

Combine like terms: -12 + 12 = 0
0 + 28x = 56 + 12
28x = 56 + 12

Combine like terms: 56 + 12 = 68
28x = 68

Divide each side by '28'.
x = 2.428571429

Simplifying
x = 2.428571429

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