16+4[5x-4(x+2)]=7-2

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Solution for 16+4[5x-4(x+2)]=7-2 equation:


Simplifying
16 + 4[5x + -4(x + 2)] = 7 + -2

Reorder the terms:
16 + 4[5x + -4(2 + x)] = 7 + -2
16 + 4[5x + (2 * -4 + x * -4)] = 7 + -2
16 + 4[5x + (-8 + -4x)] = 7 + -2

Reorder the terms:
16 + 4[-8 + 5x + -4x] = 7 + -2

Combine like terms: 5x + -4x = 1x
16 + 4[-8 + 1x] = 7 + -2
16 + [-8 * 4 + 1x * 4] = 7 + -2
16 + [-32 + 4x] = 7 + -2

Combine like terms: 16 + -32 = -16
-16 + 4x = 7 + -2

Combine like terms: 7 + -2 = 5
-16 + 4x = 5

Solving
-16 + 4x = 5

Solving for variable 'x'.

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

Add '16' to each side of the equation.
-16 + 16 + 4x = 5 + 16

Combine like terms: -16 + 16 = 0
0 + 4x = 5 + 16
4x = 5 + 16

Combine like terms: 5 + 16 = 21
4x = 21

Divide each side by '4'.
x = 5.25

Simplifying
x = 5.25

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