(3x+31)deg=(2x-6)deg

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Solution for (3x+31)deg=(2x-6)deg equation:


Simplifying
(3x + 31) * deg = (2x + -6) * deg

Reorder the terms:
(31 + 3x) * deg = (2x + -6) * deg

Reorder the terms for easier multiplication:
deg(31 + 3x) = (2x + -6) * deg
(31 * deg + 3x * deg) = (2x + -6) * deg
(31deg + 3degx) = (2x + -6) * deg

Reorder the terms:
31deg + 3degx = (-6 + 2x) * deg

Reorder the terms for easier multiplication:
31deg + 3degx = deg(-6 + 2x)
31deg + 3degx = (-6 * deg + 2x * deg)
31deg + 3degx = (-6deg + 2degx)

Solving
31deg + 3degx = -6deg + 2degx

Solving for variable 'd'.

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

Add '6deg' to each side of the equation.
31deg + 6deg + 3degx = -6deg + 6deg + 2degx

Combine like terms: 31deg + 6deg = 37deg
37deg + 3degx = -6deg + 6deg + 2degx

Combine like terms: -6deg + 6deg = 0
37deg + 3degx = 0 + 2degx
37deg + 3degx = 2degx

Add '-2degx' to each side of the equation.
37deg + 3degx + -2degx = 2degx + -2degx

Combine like terms: 3degx + -2degx = 1degx
37deg + 1degx = 2degx + -2degx

Combine like terms: 2degx + -2degx = 0
37deg + 1degx = 0

Factor out the Greatest Common Factor (GCF), 'deg'.
deg(37 + x) = 0

Subproblem 1

Set the factor 'deg' equal to zero and attempt to solve: Simplifying deg = 0 Solving deg = 0 Move all terms containing d to the left, all other terms to the right. Simplifying deg = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(37 + x)' equal to zero and attempt to solve: Simplifying 37 + x = 0 Solving 37 + x = 0 Move all terms containing d to the left, all other terms to the right. Add '-37' to each side of the equation. 37 + -37 + x = 0 + -37 Combine like terms: 37 + -37 = 0 0 + x = 0 + -37 x = 0 + -37 Combine like terms: 0 + -37 = -37 x = -37 Add '-1x' to each side of the equation. x + -1x = -37 + -1x Combine like terms: x + -1x = 0 0 = -37 + -1x Simplifying 0 = -37 + -1x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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