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

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


Simplifying
7 + -1(x + 5) = 5x + -4

Reorder the terms:
7 + -1(5 + x) = 5x + -4
7 + (5 * -1 + x * -1) = 5x + -4
7 + (-5 + -1x) = 5x + -4

Combine like terms: 7 + -5 = 2
2 + -1x = 5x + -4

Reorder the terms:
2 + -1x = -4 + 5x

Solving
2 + -1x = -4 + 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.
2 + -1x + -5x = -4 + 5x + -5x

Combine like terms: -1x + -5x = -6x
2 + -6x = -4 + 5x + -5x

Combine like terms: 5x + -5x = 0
2 + -6x = -4 + 0
2 + -6x = -4

Add '-2' to each side of the equation.
2 + -2 + -6x = -4 + -2

Combine like terms: 2 + -2 = 0
0 + -6x = -4 + -2
-6x = -4 + -2

Combine like terms: -4 + -2 = -6
-6x = -6

Divide each side by '-6'.
x = 1

Simplifying
x = 1

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