4(x-0.5)+10.5=2(x+11.5)

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Solution for 4(x-0.5)+10.5=2(x+11.5) equation: 


Simplifying
4(x + -0.5) + 10.5 = 2(x + 11.5)

Reorder the terms:
4(-0.5 + x) + 10.5 = 2(x + 11.5)
(-0.5 * 4 + x * 4) + 10.5 = 2(x + 11.5)
(-2 + 4x) + 10.5 = 2(x + 11.5)

Reorder the terms:
-2 + 10.5 + 4x = 2(x + 11.5)

Combine like terms: -2 + 10.5 = 8.5
8.5 + 4x = 2(x + 11.5)

Reorder the terms:
8.5 + 4x = 2(11.5 + x)
8.5 + 4x = (11.5 * 2 + x * 2)
8.5 + 4x = (23 + 2x)

Solving
8.5 + 4x = 23 + 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.
8.5 + 4x + -2x = 23 + 2x + -2x

Combine like terms: 4x + -2x = 2x
8.5 + 2x = 23 + 2x + -2x

Combine like terms: 2x + -2x = 0
8.5 + 2x = 23 + 0
8.5 + 2x = 23

Add '-8.5' to each side of the equation.
8.5 + -8.5 + 2x = 23 + -8.5

Combine like terms: 8.5 + -8.5 = 0.0
0.0 + 2x = 23 + -8.5
2x = 23 + -8.5

Combine like terms: 23 + -8.5 = 14.5
2x = 14.5

Divide each side by '2'.
x = 7.25

Simplifying
x = 7.25

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