5+3[q-4]=2[q+1]

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Solution for 5+3[q-4]=2[q+1] equation:


Simplifying
5 + 3[q + -4] = 2[q + 1]

Reorder the terms:
5 + 3[-4 + q] = 2[q + 1]
5 + [-4 * 3 + q * 3] = 2[q + 1]
5 + [-12 + 3q] = 2[q + 1]

Combine like terms: 5 + -12 = -7
-7 + 3q = 2[q + 1]

Reorder the terms:
-7 + 3q = 2[1 + q]
-7 + 3q = [1 * 2 + q * 2]
-7 + 3q = [2 + 2q]

Solving
-7 + 3q = 2 + 2q

Solving for variable 'q'.

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

Add '-2q' to each side of the equation.
-7 + 3q + -2q = 2 + 2q + -2q

Combine like terms: 3q + -2q = 1q
-7 + 1q = 2 + 2q + -2q

Combine like terms: 2q + -2q = 0
-7 + 1q = 2 + 0
-7 + 1q = 2

Add '7' to each side of the equation.
-7 + 7 + 1q = 2 + 7

Combine like terms: -7 + 7 = 0
0 + 1q = 2 + 7
1q = 2 + 7

Combine like terms: 2 + 7 = 9
1q = 9

Divide each side by '1'.
q = 9

Simplifying
q = 9

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