4x-6(-x-7)=92

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Solution for 4x-6(-x-7)=92 equation:


Simplifying
4x + -6(-1x + -7) = 92

Reorder the terms:
4x + -6(-7 + -1x) = 92
4x + (-7 * -6 + -1x * -6) = 92
4x + (42 + 6x) = 92

Reorder the terms:
42 + 4x + 6x = 92

Combine like terms: 4x + 6x = 10x
42 + 10x = 92

Solving
42 + 10x = 92

Solving for variable 'x'.

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

Add '-42' to each side of the equation.
42 + -42 + 10x = 92 + -42

Combine like terms: 42 + -42 = 0
0 + 10x = 92 + -42
10x = 92 + -42

Combine like terms: 92 + -42 = 50
10x = 50

Divide each side by '10'.
x = 5

Simplifying
x = 5

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