12+(x+3)+7(6x-3)=13(4x-3)

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Solution for 12+(x+3)+7(6x-3)=13(4x-3) equation:


Simplifying
12 + (x + 3) + 7(6x + -3) = 13(4x + -3)

Reorder the terms:
12 + (3 + x) + 7(6x + -3) = 13(4x + -3)

Remove parenthesis around (3 + x)
12 + 3 + x + 7(6x + -3) = 13(4x + -3)

Reorder the terms:
12 + 3 + x + 7(-3 + 6x) = 13(4x + -3)
12 + 3 + x + (-3 * 7 + 6x * 7) = 13(4x + -3)
12 + 3 + x + (-21 + 42x) = 13(4x + -3)

Reorder the terms:
12 + 3 + -21 + x + 42x = 13(4x + -3)

Combine like terms: 12 + 3 = 15
15 + -21 + x + 42x = 13(4x + -3)

Combine like terms: 15 + -21 = -6
-6 + x + 42x = 13(4x + -3)

Combine like terms: x + 42x = 43x
-6 + 43x = 13(4x + -3)

Reorder the terms:
-6 + 43x = 13(-3 + 4x)
-6 + 43x = (-3 * 13 + 4x * 13)
-6 + 43x = (-39 + 52x)

Solving
-6 + 43x = -39 + 52x

Solving for variable 'x'.

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

Add '-52x' to each side of the equation.
-6 + 43x + -52x = -39 + 52x + -52x

Combine like terms: 43x + -52x = -9x
-6 + -9x = -39 + 52x + -52x

Combine like terms: 52x + -52x = 0
-6 + -9x = -39 + 0
-6 + -9x = -39

Add '6' to each side of the equation.
-6 + 6 + -9x = -39 + 6

Combine like terms: -6 + 6 = 0
0 + -9x = -39 + 6
-9x = -39 + 6

Combine like terms: -39 + 6 = -33
-9x = -33

Divide each side by '-9'.
x = 3.666666667

Simplifying
x = 3.666666667

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