.25(x+3)=4(x+3)

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Solution for .25(x+3)=4(x+3) equation:


Simplifying
0.25(x + 3) = 4(x + 3)

Reorder the terms:
0.25(3 + x) = 4(x + 3)
(3 * 0.25 + x * 0.25) = 4(x + 3)
(0.75 + 0.25x) = 4(x + 3)

Reorder the terms:
0.75 + 0.25x = 4(3 + x)
0.75 + 0.25x = (3 * 4 + x * 4)
0.75 + 0.25x = (12 + 4x)

Solving
0.75 + 0.25x = 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.
0.75 + 0.25x + -4x = 12 + 4x + -4x

Combine like terms: 0.25x + -4x = -3.75x
0.75 + -3.75x = 12 + 4x + -4x

Combine like terms: 4x + -4x = 0
0.75 + -3.75x = 12 + 0
0.75 + -3.75x = 12

Add '-0.75' to each side of the equation.
0.75 + -0.75 + -3.75x = 12 + -0.75

Combine like terms: 0.75 + -0.75 = 0.00
0.00 + -3.75x = 12 + -0.75
-3.75x = 12 + -0.75

Combine like terms: 12 + -0.75 = 11.25
-3.75x = 11.25

Divide each side by '-3.75'.
x = -3

Simplifying
x = -3

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