4x-4.5=0.5+2.5(x+4)

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Solution for 4x-4.5=0.5+2.5(x+4) equation:


Simplifying
4x + -4.5 = 0.5 + 2.5(x + 4)

Reorder the terms:
-4.5 + 4x = 0.5 + 2.5(x + 4)

Reorder the terms:
-4.5 + 4x = 0.5 + 2.5(4 + x)
-4.5 + 4x = 0.5 + (4 * 2.5 + x * 2.5)
-4.5 + 4x = 0.5 + (10 + 2.5x)

Combine like terms: 0.5 + 10 = 10.5
-4.5 + 4x = 10.5 + 2.5x

Solving
-4.5 + 4x = 10.5 + 2.5x

Solving for variable 'x'.

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

Add '-2.5x' to each side of the equation.
-4.5 + 4x + -2.5x = 10.5 + 2.5x + -2.5x

Combine like terms: 4x + -2.5x = 1.5x
-4.5 + 1.5x = 10.5 + 2.5x + -2.5x

Combine like terms: 2.5x + -2.5x = 0.0
-4.5 + 1.5x = 10.5 + 0.0
-4.5 + 1.5x = 10.5

Add '4.5' to each side of the equation.
-4.5 + 4.5 + 1.5x = 10.5 + 4.5

Combine like terms: -4.5 + 4.5 = 0.0
0.0 + 1.5x = 10.5 + 4.5
1.5x = 10.5 + 4.5

Combine like terms: 10.5 + 4.5 = 15
1.5x = 15

Divide each side by '1.5'.
x = 10

Simplifying
x = 10

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