7x+2=3(x-12)

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Solution for 7x+2=3(x-12) equation:


Simplifying
7x + 2 = 3(x + -12)

Reorder the terms:
2 + 7x = 3(x + -12)

Reorder the terms:
2 + 7x = 3(-12 + x)
2 + 7x = (-12 * 3 + x * 3)
2 + 7x = (-36 + 3x)

Solving
2 + 7x = -36 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
2 + 7x + -3x = -36 + 3x + -3x

Combine like terms: 7x + -3x = 4x
2 + 4x = -36 + 3x + -3x

Combine like terms: 3x + -3x = 0
2 + 4x = -36 + 0
2 + 4x = -36

Add '-2' to each side of the equation.
2 + -2 + 4x = -36 + -2

Combine like terms: 2 + -2 = 0
0 + 4x = -36 + -2
4x = -36 + -2

Combine like terms: -36 + -2 = -38
4x = -38

Divide each side by '4'.
x = -9.5

Simplifying
x = -9.5

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