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

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


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

Reorder the terms:
-3 + x = -5(-7 + x) + 4
-3 + x = (-7 * -5 + x * -5) + 4
-3 + x = (35 + -5x) + 4

Reorder the terms:
-3 + x = 35 + 4 + -5x

Combine like terms: 35 + 4 = 39
-3 + x = 39 + -5x

Solving
-3 + x = 39 + -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.
-3 + x + 5x = 39 + -5x + 5x

Combine like terms: x + 5x = 6x
-3 + 6x = 39 + -5x + 5x

Combine like terms: -5x + 5x = 0
-3 + 6x = 39 + 0
-3 + 6x = 39

Add '3' to each side of the equation.
-3 + 3 + 6x = 39 + 3

Combine like terms: -3 + 3 = 0
0 + 6x = 39 + 3
6x = 39 + 3

Combine like terms: 39 + 3 = 42
6x = 42

Divide each side by '6'.
x = 7

Simplifying
x = 7

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