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

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


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

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

Remove parenthesis around (2x)
12 + 4x = 3 * 2x + -3(1)

Multiply 3 * 2
12 + 4x = 6x + -3(1)

Multiply -3 * 1
12 + 4x = 6x + -3

Reorder the terms:
12 + 4x = -3 + 6x

Solving
12 + 4x = -3 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
12 + 4x + -6x = -3 + 6x + -6x

Combine like terms: 4x + -6x = -2x
12 + -2x = -3 + 6x + -6x

Combine like terms: 6x + -6x = 0
12 + -2x = -3 + 0
12 + -2x = -3

Add '-12' to each side of the equation.
12 + -12 + -2x = -3 + -12

Combine like terms: 12 + -12 = 0
0 + -2x = -3 + -12
-2x = -3 + -12

Combine like terms: -3 + -12 = -15
-2x = -15

Divide each side by '-2'.
x = 7.5

Simplifying
x = 7.5

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