4[x+2(5-x)]=4x+1

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Solution for 4[x+2(5-x)]=4x+1 equation:


Simplifying
4[x + 2(5 + -1x)] = 4x + 1
4[x + (5 * 2 + -1x * 2)] = 4x + 1
4[x + (10 + -2x)] = 4x + 1

Reorder the terms:
4[10 + x + -2x] = 4x + 1

Combine like terms: x + -2x = -1x
4[10 + -1x] = 4x + 1
[10 * 4 + -1x * 4] = 4x + 1
[40 + -4x] = 4x + 1

Reorder the terms:
40 + -4x = 1 + 4x

Solving
40 + -4x = 1 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
40 + -4x + -4x = 1 + 4x + -4x

Combine like terms: -4x + -4x = -8x
40 + -8x = 1 + 4x + -4x

Combine like terms: 4x + -4x = 0
40 + -8x = 1 + 0
40 + -8x = 1

Add '-40' to each side of the equation.
40 + -40 + -8x = 1 + -40

Combine like terms: 40 + -40 = 0
0 + -8x = 1 + -40
-8x = 1 + -40

Combine like terms: 1 + -40 = -39
-8x = -39

Divide each side by '-8'.
x = 4.875

Simplifying
x = 4.875

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