7x-3[2x-3]=2(x-1)

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Solution for 7x-3[2x-3]=2(x-1) equation:


Simplifying
7x + -3[2x + -3] = 2(x + -1)

Reorder the terms:
7x + -3[-3 + 2x] = 2(x + -1)
7x + [-3 * -3 + 2x * -3] = 2(x + -1)
7x + [9 + -6x] = 2(x + -1)

Reorder the terms:
9 + 7x + -6x = 2(x + -1)

Combine like terms: 7x + -6x = 1x
9 + 1x = 2(x + -1)

Reorder the terms:
9 + 1x = 2(-1 + x)
9 + 1x = (-1 * 2 + x * 2)
9 + 1x = (-2 + 2x)

Solving
9 + 1x = -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.
9 + 1x + -2x = -2 + 2x + -2x

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

Combine like terms: 2x + -2x = 0
9 + -1x = -2 + 0
9 + -1x = -2

Add '-9' to each side of the equation.
9 + -9 + -1x = -2 + -9

Combine like terms: 9 + -9 = 0
0 + -1x = -2 + -9
-1x = -2 + -9

Combine like terms: -2 + -9 = -11
-1x = -11

Divide each side by '-1'.
x = 11

Simplifying
x = 11

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