-x+34=3(x-5)+5

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Solution for -x+34=3(x-5)+5 equation:


Simplifying
-1x + 34 = 3(x + -5) + 5

Reorder the terms:
34 + -1x = 3(x + -5) + 5

Reorder the terms:
34 + -1x = 3(-5 + x) + 5
34 + -1x = (-5 * 3 + x * 3) + 5
34 + -1x = (-15 + 3x) + 5

Reorder the terms:
34 + -1x = -15 + 5 + 3x

Combine like terms: -15 + 5 = -10
34 + -1x = -10 + 3x

Solving
34 + -1x = -10 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
34 + -1x + -3x = -10 + 3x + -3x

Combine like terms: -1x + -3x = -4x
34 + -4x = -10 + 3x + -3x

Combine like terms: 3x + -3x = 0
34 + -4x = -10 + 0
34 + -4x = -10

Add '-34' to each side of the equation.
34 + -34 + -4x = -10 + -34

Combine like terms: 34 + -34 = 0
0 + -4x = -10 + -34
-4x = -10 + -34

Combine like terms: -10 + -34 = -44
-4x = -44

Divide each side by '-4'.
x = 11

Simplifying
x = 11

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