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

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


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

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

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

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

Solving
-7 + 3x = 2 + 2x

Solving for variable 'x'.

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

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

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

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

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

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

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

Divide each side by '1'.
x = 9

Simplifying
x = 9

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