11-3x=4[2x-1]+7

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Solution for 11-3x=4[2x-1]+7 equation:


Simplifying
11 + -3x = 4[2x + -1] + 7

Reorder the terms:
11 + -3x = 4[-1 + 2x] + 7
11 + -3x = [-1 * 4 + 2x * 4] + 7
11 + -3x = [-4 + 8x] + 7

Reorder the terms:
11 + -3x = -4 + 7 + 8x

Combine like terms: -4 + 7 = 3
11 + -3x = 3 + 8x

Solving
11 + -3x = 3 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
11 + -3x + -8x = 3 + 8x + -8x

Combine like terms: -3x + -8x = -11x
11 + -11x = 3 + 8x + -8x

Combine like terms: 8x + -8x = 0
11 + -11x = 3 + 0
11 + -11x = 3

Add '-11' to each side of the equation.
11 + -11 + -11x = 3 + -11

Combine like terms: 11 + -11 = 0
0 + -11x = 3 + -11
-11x = 3 + -11

Combine like terms: 3 + -11 = -8
-11x = -8

Divide each side by '-11'.
x = 0.7272727273

Simplifying
x = 0.7272727273

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