9-2[4-3(7-2x)]=2(11+x)

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Solution for 9-2[4-3(7-2x)]=2(11+x) equation: 


Simplifying
9 + -2[4 + -3(7 + -2x)] = 2(11 + x)
9 + -2[4 + (7 * -3 + -2x * -3)] = 2(11 + x)
9 + -2[4 + (-21 + 6x)] = 2(11 + x)

Combine like terms: 4 + -21 = -17
9 + -2[-17 + 6x] = 2(11 + x)
9 + [-17 * -2 + 6x * -2] = 2(11 + x)
9 + [34 + -12x] = 2(11 + x)

Combine like terms: 9 + 34 = 43
43 + -12x = 2(11 + x)
43 + -12x = (11 * 2 + x * 2)
43 + -12x = (22 + 2x)

Solving
43 + -12x = 22 + 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.
43 + -12x + -2x = 22 + 2x + -2x

Combine like terms: -12x + -2x = -14x
43 + -14x = 22 + 2x + -2x

Combine like terms: 2x + -2x = 0
43 + -14x = 22 + 0
43 + -14x = 22

Add '-43' to each side of the equation.
43 + -43 + -14x = 22 + -43

Combine like terms: 43 + -43 = 0
0 + -14x = 22 + -43
-14x = 22 + -43

Combine like terms: 22 + -43 = -21
-14x = -21

Divide each side by '-14'.
x = 1.5

Simplifying
x = 1.5

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