4x-11=0.5(8+3x-5)

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Solution for 4x-11=0.5(8+3x-5) equation:


Simplifying
4x + -11 = 0.5(8 + 3x + -5)

Reorder the terms:
-11 + 4x = 0.5(8 + 3x + -5)

Reorder the terms:
-11 + 4x = 0.5(8 + -5 + 3x)

Combine like terms: 8 + -5 = 3
-11 + 4x = 0.5(3 + 3x)
-11 + 4x = (3 * 0.5 + 3x * 0.5)
-11 + 4x = (1.5 + 1.5x)

Solving
-11 + 4x = 1.5 + 1.5x

Solving for variable 'x'.

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

Add '-1.5x' to each side of the equation.
-11 + 4x + -1.5x = 1.5 + 1.5x + -1.5x

Combine like terms: 4x + -1.5x = 2.5x
-11 + 2.5x = 1.5 + 1.5x + -1.5x

Combine like terms: 1.5x + -1.5x = 0.0
-11 + 2.5x = 1.5 + 0.0
-11 + 2.5x = 1.5

Add '11' to each side of the equation.
-11 + 11 + 2.5x = 1.5 + 11

Combine like terms: -11 + 11 = 0
0 + 2.5x = 1.5 + 11
2.5x = 1.5 + 11

Combine like terms: 1.5 + 11 = 12.5
2.5x = 12.5

Divide each side by '2.5'.
x = 5

Simplifying
x = 5

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