x+3=0.5[(4x+10)-45]

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Solution for x+3=0.5[(4x+10)-45] equation:


Simplifying
x + 3 = 0.5[(4x + 10) + -45]

Reorder the terms:
3 + x = 0.5[(4x + 10) + -45]

Reorder the terms:
3 + x = 0.5[(10 + 4x) + -45]

Remove parenthesis around (10 + 4x)
3 + x = 0.5[10 + 4x + -45]

Reorder the terms:
3 + x = 0.5[10 + -45 + 4x]

Combine like terms: 10 + -45 = -35
3 + x = 0.5[-35 + 4x]
3 + x = [-35 * 0.5 + 4x * 0.5]
3 + x = [-17.5 + 2x]

Solving
3 + x = -17.5 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
3 + x + -2x = -17.5 + 2x + -2x

Combine like terms: x + -2x = -1x
3 + -1x = -17.5 + 2x + -2x

Combine like terms: 2x + -2x = 0
3 + -1x = -17.5 + 0
3 + -1x = -17.5

Add '-3' to each side of the equation.
3 + -3 + -1x = -17.5 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = -17.5 + -3
-1x = -17.5 + -3

Combine like terms: -17.5 + -3 = -20.5
-1x = -20.5

Divide each side by '-1'.
x = 20.5

Simplifying
x = 20.5

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