3[(x)-3]+5=8-[4(x)-3]

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Solution for 3[(x)-3]+5=8-[4(x)-3] equation:


Simplifying
3[(x) + -3] + 5 = 8 + -1[4(x) + -3]
3[x + -3] + 5 = 8 + -1[4(x) + -3]

Reorder the terms:
3[-3 + x] + 5 = 8 + -1[4(x) + -3]
[-3 * 3 + x * 3] + 5 = 8 + -1[4(x) + -3]
[-9 + 3x] + 5 = 8 + -1[4(x) + -3]

Reorder the terms:
-9 + 5 + 3x = 8 + -1[4(x) + -3]

Combine like terms: -9 + 5 = -4
-4 + 3x = 8 + -1[4(x) + -3]

Reorder the terms:
-4 + 3x = 8 + -1[-3 + 4x]
-4 + 3x = 8 + [-3 * -1 + 4x * -1]
-4 + 3x = 8 + [3 + -4x]

Combine like terms: 8 + 3 = 11
-4 + 3x = 11 + -4x

Solving
-4 + 3x = 11 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
-4 + 3x + 4x = 11 + -4x + 4x

Combine like terms: 3x + 4x = 7x
-4 + 7x = 11 + -4x + 4x

Combine like terms: -4x + 4x = 0
-4 + 7x = 11 + 0
-4 + 7x = 11

Add '4' to each side of the equation.
-4 + 4 + 7x = 11 + 4

Combine like terms: -4 + 4 = 0
0 + 7x = 11 + 4
7x = 11 + 4

Combine like terms: 11 + 4 = 15
7x = 15

Divide each side by '7'.
x = 2.142857143

Simplifying
x = 2.142857143

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