11-3(x-6)-4x=7(1-3x)

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Solution for 11-3(x-6)-4x=7(1-3x) equation: 


Simplifying
11 + -3(x + -6) + -4x = 7(1 + -3x)

Reorder the terms:
11 + -3(-6 + x) + -4x = 7(1 + -3x)
11 + (-6 * -3 + x * -3) + -4x = 7(1 + -3x)
11 + (18 + -3x) + -4x = 7(1 + -3x)

Combine like terms: 11 + 18 = 29
29 + -3x + -4x = 7(1 + -3x)

Combine like terms: -3x + -4x = -7x
29 + -7x = 7(1 + -3x)
29 + -7x = (1 * 7 + -3x * 7)
29 + -7x = (7 + -21x)

Solving
29 + -7x = 7 + -21x

Solving for variable 'x'.

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

Add '21x' to each side of the equation.
29 + -7x + 21x = 7 + -21x + 21x

Combine like terms: -7x + 21x = 14x
29 + 14x = 7 + -21x + 21x

Combine like terms: -21x + 21x = 0
29 + 14x = 7 + 0
29 + 14x = 7

Add '-29' to each side of the equation.
29 + -29 + 14x = 7 + -29

Combine like terms: 29 + -29 = 0
0 + 14x = 7 + -29
14x = 7 + -29

Combine like terms: 7 + -29 = -22
14x = -22

Divide each side by '14'.
x = -1.571428571

Simplifying
x = -1.571428571

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