4(x+3)+2=4.5(x+1)

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Solution for 4(x+3)+2=4.5(x+1) equation:


Simplifying
4(x + 3) + 2 = 4.5(x + 1)

Reorder the terms:
4(3 + x) + 2 = 4.5(x + 1)
(3 * 4 + x * 4) + 2 = 4.5(x + 1)
(12 + 4x) + 2 = 4.5(x + 1)

Reorder the terms:
12 + 2 + 4x = 4.5(x + 1)

Combine like terms: 12 + 2 = 14
14 + 4x = 4.5(x + 1)

Reorder the terms:
14 + 4x = 4.5(1 + x)
14 + 4x = (1 * 4.5 + x * 4.5)
14 + 4x = (4.5 + 4.5x)

Solving
14 + 4x = 4.5 + 4.5x

Solving for variable 'x'.

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

Add '-4.5x' to each side of the equation.
14 + 4x + -4.5x = 4.5 + 4.5x + -4.5x

Combine like terms: 4x + -4.5x = -0.5x
14 + -0.5x = 4.5 + 4.5x + -4.5x

Combine like terms: 4.5x + -4.5x = 0.0
14 + -0.5x = 4.5 + 0.0
14 + -0.5x = 4.5

Add '-14' to each side of the equation.
14 + -14 + -0.5x = 4.5 + -14

Combine like terms: 14 + -14 = 0
0 + -0.5x = 4.5 + -14
-0.5x = 4.5 + -14

Combine like terms: 4.5 + -14 = -9.5
-0.5x = -9.5

Divide each side by '-0.5'.
x = 19

Simplifying
x = 19

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