4(3x-1)=7(x+3)

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Solution for 4(3x-1)=7(x+3) equation:


Simplifying
4(3x + -1) = 7(x + 3)

Reorder the terms:
4(-1 + 3x) = 7(x + 3)
(-1 * 4 + 3x * 4) = 7(x + 3)
(-4 + 12x) = 7(x + 3)

Reorder the terms:
-4 + 12x = 7(3 + x)
-4 + 12x = (3 * 7 + x * 7)
-4 + 12x = (21 + 7x)

Solving
-4 + 12x = 21 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-4 + 12x + -7x = 21 + 7x + -7x

Combine like terms: 12x + -7x = 5x
-4 + 5x = 21 + 7x + -7x

Combine like terms: 7x + -7x = 0
-4 + 5x = 21 + 0
-4 + 5x = 21

Add '4' to each side of the equation.
-4 + 4 + 5x = 21 + 4

Combine like terms: -4 + 4 = 0
0 + 5x = 21 + 4
5x = 21 + 4

Combine like terms: 21 + 4 = 25
5x = 25

Divide each side by '5'.
x = 5

Simplifying
x = 5

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