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

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


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

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

Reorder the terms:
4.5 + -2 + 4.5x = 4(x + 3)

Combine like terms: 4.5 + -2 = 2.5
2.5 + 4.5x = 4(x + 3)

Reorder the terms:
2.5 + 4.5x = 4(3 + x)
2.5 + 4.5x = (3 * 4 + x * 4)
2.5 + 4.5x = (12 + 4x)

Solving
2.5 + 4.5x = 12 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
2.5 + 4.5x + -4x = 12 + 4x + -4x

Combine like terms: 4.5x + -4x = 0.5x
2.5 + 0.5x = 12 + 4x + -4x

Combine like terms: 4x + -4x = 0
2.5 + 0.5x = 12 + 0
2.5 + 0.5x = 12

Add '-2.5' to each side of the equation.
2.5 + -2.5 + 0.5x = 12 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + 0.5x = 12 + -2.5
0.5x = 12 + -2.5

Combine like terms: 12 + -2.5 = 9.5
0.5x = 9.5

Divide each side by '0.5'.
x = 19

Simplifying
x = 19

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