7+4[1+2(2x-4)]=6(x+7)

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Solution for 7+4[1+2(2x-4)]=6(x+7) equation:


Simplifying
7 + 4[1 + 2(2x + -4)] = 6(x + 7)

Reorder the terms:
7 + 4[1 + 2(-4 + 2x)] = 6(x + 7)
7 + 4[1 + (-4 * 2 + 2x * 2)] = 6(x + 7)
7 + 4[1 + (-8 + 4x)] = 6(x + 7)

Combine like terms: 1 + -8 = -7
7 + 4[-7 + 4x] = 6(x + 7)
7 + [-7 * 4 + 4x * 4] = 6(x + 7)
7 + [-28 + 16x] = 6(x + 7)

Combine like terms: 7 + -28 = -21
-21 + 16x = 6(x + 7)

Reorder the terms:
-21 + 16x = 6(7 + x)
-21 + 16x = (7 * 6 + x * 6)
-21 + 16x = (42 + 6x)

Solving
-21 + 16x = 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.
-21 + 16x + -6x = 42 + 6x + -6x

Combine like terms: 16x + -6x = 10x
-21 + 10x = 42 + 6x + -6x

Combine like terms: 6x + -6x = 0
-21 + 10x = 42 + 0
-21 + 10x = 42

Add '21' to each side of the equation.
-21 + 21 + 10x = 42 + 21

Combine like terms: -21 + 21 = 0
0 + 10x = 42 + 21
10x = 42 + 21

Combine like terms: 42 + 21 = 63
10x = 63

Divide each side by '10'.
x = 6.3

Simplifying
x = 6.3

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