7+6[1+2(2x-6)]=6(x+7)

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Solution for 7+6[1+2(2x-6)]=6(x+7) equation:


Simplifying
7 + 6[1 + 2(2x + -6)] = 6(x + 7)

Reorder the terms:
7 + 6[1 + 2(-6 + 2x)] = 6(x + 7)
7 + 6[1 + (-6 * 2 + 2x * 2)] = 6(x + 7)
7 + 6[1 + (-12 + 4x)] = 6(x + 7)

Combine like terms: 1 + -12 = -11
7 + 6[-11 + 4x] = 6(x + 7)
7 + [-11 * 6 + 4x * 6] = 6(x + 7)
7 + [-66 + 24x] = 6(x + 7)

Combine like terms: 7 + -66 = -59
-59 + 24x = 6(x + 7)

Reorder the terms:
-59 + 24x = 6(7 + x)
-59 + 24x = (7 * 6 + x * 6)
-59 + 24x = (42 + 6x)

Solving
-59 + 24x = 42 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-59 + 24x + -6x = 42 + 6x + -6x

Combine like terms: 24x + -6x = 18x
-59 + 18x = 42 + 6x + -6x

Combine like terms: 6x + -6x = 0
-59 + 18x = 42 + 0
-59 + 18x = 42

Add '59' to each side of the equation.
-59 + 59 + 18x = 42 + 59

Combine like terms: -59 + 59 = 0
0 + 18x = 42 + 59
18x = 42 + 59

Combine like terms: 42 + 59 = 101
18x = 101

Divide each side by '18'.
x = 5.611111111

Simplifying
x = 5.611111111

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