Ax+5+Bx+c=7x-3

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Solution for Ax+5+Bx+c=7x-3 equation:


Simplifying
Ax + 5 + Bx + c = 7x + -3

Reorder the terms:
5 + c + xA + xB = 7x + -3

Reorder the terms:
5 + c + xA + xB = -3 + 7x

Solving
5 + c + xA + xB = -3 + 7x

Solving for variable 'c'.

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

Add '-5' to each side of the equation.
5 + c + xA + -5 + xB = -3 + -5 + 7x

Reorder the terms:
5 + -5 + c + xA + xB = -3 + -5 + 7x

Combine like terms: 5 + -5 = 0
0 + c + xA + xB = -3 + -5 + 7x
c + xA + xB = -3 + -5 + 7x

Combine like terms: -3 + -5 = -8
c + xA + xB = -8 + 7x

Add '-1xA' to each side of the equation.
c + xA + -1xA + xB = -8 + 7x + -1xA

Combine like terms: xA + -1xA = 0
c + 0 + xB = -8 + 7x + -1xA
c + xB = -8 + 7x + -1xA

Add '-1xB' to each side of the equation.
c + xB + -1xB = -8 + 7x + -1xA + -1xB

Combine like terms: xB + -1xB = 0
c + 0 = -8 + 7x + -1xA + -1xB
c = -8 + 7x + -1xA + -1xB

Simplifying
c = -8 + 7x + -1xA + -1xB

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