7-4=7(x-6)

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


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

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

Reorder the terms:
3 = 7(-6 + x)
3 = (-6 * 7 + x * 7)
3 = (-42 + 7x)

Solving
3 = -42 + 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.
3 + -7x = -42 + 7x + -7x

Combine like terms: 7x + -7x = 0
3 + -7x = -42 + 0
3 + -7x = -42

Add '-3' to each side of the equation.
3 + -3 + -7x = -42 + -3

Combine like terms: 3 + -3 = 0
0 + -7x = -42 + -3
-7x = -42 + -3

Combine like terms: -42 + -3 = -45
-7x = -45

Divide each side by '-7'.
x = 6.428571429

Simplifying
x = 6.428571429

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