12(x+4)=7x+13

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


Simplifying
12(x + 4) = 7x + 13

Reorder the terms:
12(4 + x) = 7x + 13
(4 * 12 + x * 12) = 7x + 13
(48 + 12x) = 7x + 13

Reorder the terms:
48 + 12x = 13 + 7x

Solving
48 + 12x = 13 + 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.
48 + 12x + -7x = 13 + 7x + -7x

Combine like terms: 12x + -7x = 5x
48 + 5x = 13 + 7x + -7x

Combine like terms: 7x + -7x = 0
48 + 5x = 13 + 0
48 + 5x = 13

Add '-48' to each side of the equation.
48 + -48 + 5x = 13 + -48

Combine like terms: 48 + -48 = 0
0 + 5x = 13 + -48
5x = 13 + -48

Combine like terms: 13 + -48 = -35
5x = -35

Divide each side by '5'.
x = -7

Simplifying
x = -7

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