4(3x+3)=3(5x+0.5)

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Solution for 4(3x+3)=3(5x+0.5) equation:


Simplifying
4(3x + 3) = 3(5x + 0.5)

Reorder the terms:
4(3 + 3x) = 3(5x + 0.5)
(3 * 4 + 3x * 4) = 3(5x + 0.5)
(12 + 12x) = 3(5x + 0.5)

Reorder the terms:
12 + 12x = 3(0.5 + 5x)
12 + 12x = (0.5 * 3 + 5x * 3)
12 + 12x = (1.5 + 15x)

Solving
12 + 12x = 1.5 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
12 + 12x + -15x = 1.5 + 15x + -15x

Combine like terms: 12x + -15x = -3x
12 + -3x = 1.5 + 15x + -15x

Combine like terms: 15x + -15x = 0
12 + -3x = 1.5 + 0
12 + -3x = 1.5

Add '-12' to each side of the equation.
12 + -12 + -3x = 1.5 + -12

Combine like terms: 12 + -12 = 0
0 + -3x = 1.5 + -12
-3x = 1.5 + -12

Combine like terms: 1.5 + -12 = -10.5
-3x = -10.5

Divide each side by '-3'.
x = 3.5

Simplifying
x = 3.5

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