7-3(x-5)=6+x-7

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Solution for 7-3(x-5)=6+x-7 equation: 


Simplifying
7 + -3(x + -5) = 6 + x + -7

Reorder the terms:
7 + -3(-5 + x) = 6 + x + -7
7 + (-5 * -3 + x * -3) = 6 + x + -7
7 + (15 + -3x) = 6 + x + -7

Combine like terms: 7 + 15 = 22
22 + -3x = 6 + x + -7

Reorder the terms:
22 + -3x = 6 + -7 + x

Combine like terms: 6 + -7 = -1
22 + -3x = -1 + x

Solving
22 + -3x = -1 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
22 + -3x + -1x = -1 + x + -1x

Combine like terms: -3x + -1x = -4x
22 + -4x = -1 + x + -1x

Combine like terms: x + -1x = 0
22 + -4x = -1 + 0
22 + -4x = -1

Add '-22' to each side of the equation.
22 + -22 + -4x = -1 + -22

Combine like terms: 22 + -22 = 0
0 + -4x = -1 + -22
-4x = -1 + -22

Combine like terms: -1 + -22 = -23
-4x = -23

Divide each side by '-4'.
x = 5.75

Simplifying
x = 5.75

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