7x+6=4(x-7)

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


Simplifying
7x + 6 = 4(x + -7)

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

Reorder the terms:
6 + 7x = 4(-7 + x)
6 + 7x = (-7 * 4 + x * 4)
6 + 7x = (-28 + 4x)

Solving
6 + 7x = -28 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
6 + 7x + -4x = -28 + 4x + -4x

Combine like terms: 7x + -4x = 3x
6 + 3x = -28 + 4x + -4x

Combine like terms: 4x + -4x = 0
6 + 3x = -28 + 0
6 + 3x = -28

Add '-6' to each side of the equation.
6 + -6 + 3x = -28 + -6

Combine like terms: 6 + -6 = 0
0 + 3x = -28 + -6
3x = -28 + -6

Combine like terms: -28 + -6 = -34
3x = -34

Divide each side by '3'.
x = -11.33333333

Simplifying
x = -11.33333333

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