7x-[4x-3(x-3)]=x+12

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Solution for 7x-[4x-3(x-3)]=x+12 equation:


Simplifying
7x + -1[4x + -3(x + -3)] = x + 12

Reorder the terms:
7x + -1[4x + -3(-3 + x)] = x + 12
7x + -1[4x + (-3 * -3 + x * -3)] = x + 12
7x + -1[4x + (9 + -3x)] = x + 12

Reorder the terms:
7x + -1[9 + 4x + -3x] = x + 12

Combine like terms: 4x + -3x = 1x
7x + -1[9 + 1x] = x + 12
7x + [9 * -1 + 1x * -1] = x + 12
7x + [-9 + -1x] = x + 12

Reorder the terms:
-9 + 7x + -1x = x + 12

Combine like terms: 7x + -1x = 6x
-9 + 6x = x + 12

Reorder the terms:
-9 + 6x = 12 + x

Solving
-9 + 6x = 12 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-9 + 6x + -1x = 12 + x + -1x

Combine like terms: 6x + -1x = 5x
-9 + 5x = 12 + x + -1x

Combine like terms: x + -1x = 0
-9 + 5x = 12 + 0
-9 + 5x = 12

Add '9' to each side of the equation.
-9 + 9 + 5x = 12 + 9

Combine like terms: -9 + 9 = 0
0 + 5x = 12 + 9
5x = 12 + 9

Combine like terms: 12 + 9 = 21
5x = 21

Divide each side by '5'.
x = 4.2

Simplifying
x = 4.2

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