7x=3(x-4)

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


Simplifying
7x = 3(x + -4)

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

Solving
7x = -12 + 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.
7x + -3x = -12 + 3x + -3x

Combine like terms: 7x + -3x = 4x
4x = -12 + 3x + -3x

Combine like terms: 3x + -3x = 0
4x = -12 + 0
4x = -12

Divide each side by '4'.
x = -3

Simplifying
x = -3

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