7=-5(x-4)-3

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Solution for 7=-5(x-4)-3 equation:


Simplifying
7 = -5(x + -4) + -3

Reorder the terms:
7 = -5(-4 + x) + -3
7 = (-4 * -5 + x * -5) + -3
7 = (20 + -5x) + -3

Reorder the terms:
7 = 20 + -3 + -5x

Combine like terms: 20 + -3 = 17
7 = 17 + -5x

Solving
7 = 17 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
7 + 5x = 17 + -5x + 5x

Combine like terms: -5x + 5x = 0
7 + 5x = 17 + 0
7 + 5x = 17

Add '-7' to each side of the equation.
7 + -7 + 5x = 17 + -7

Combine like terms: 7 + -7 = 0
0 + 5x = 17 + -7
5x = 17 + -7

Combine like terms: 17 + -7 = 10
5x = 10

Divide each side by '5'.
x = 2

Simplifying
x = 2

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