4x+3=.5[(x+8)+243]

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Solution for 4x+3=.5[(x+8)+243] equation:


Simplifying
4x + 3 = 0.5[(x + 8) + 243]

Reorder the terms:
3 + 4x = 0.5[(x + 8) + 243]

Reorder the terms:
3 + 4x = 0.5[(8 + x) + 243]

Remove parenthesis around (8 + x)
3 + 4x = 0.5[8 + x + 243]

Reorder the terms:
3 + 4x = 0.5[8 + 243 + x]

Combine like terms: 8 + 243 = 251
3 + 4x = 0.5[251 + x]
3 + 4x = [251 * 0.5 + x * 0.5]
3 + 4x = [125.5 + 0.5x]

Solving
3 + 4x = 125.5 + 0.5x

Solving for variable 'x'.

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

Add '-0.5x' to each side of the equation.
3 + 4x + -0.5x = 125.5 + 0.5x + -0.5x

Combine like terms: 4x + -0.5x = 3.5x
3 + 3.5x = 125.5 + 0.5x + -0.5x

Combine like terms: 0.5x + -0.5x = 0.0
3 + 3.5x = 125.5 + 0.0
3 + 3.5x = 125.5

Add '-3' to each side of the equation.
3 + -3 + 3.5x = 125.5 + -3

Combine like terms: 3 + -3 = 0
0 + 3.5x = 125.5 + -3
3.5x = 125.5 + -3

Combine like terms: 125.5 + -3 = 122.5
3.5x = 122.5

Divide each side by '3.5'.
x = 35

Simplifying
x = 35

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