2x+(103-x)=(6x-7)

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Solution for 2x+(103-x)=(6x-7) equation:


Simplifying
2x + (103 + -1x) = (6x + -7)

Remove parenthesis around (103 + -1x)
2x + 103 + -1x = (6x + -7)

Reorder the terms:
103 + 2x + -1x = (6x + -7)

Combine like terms: 2x + -1x = 1x
103 + 1x = (6x + -7)

Reorder the terms:
103 + 1x = (-7 + 6x)

Remove parenthesis around (-7 + 6x)
103 + 1x = -7 + 6x

Solving
103 + 1x = -7 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
103 + 1x + -6x = -7 + 6x + -6x

Combine like terms: 1x + -6x = -5x
103 + -5x = -7 + 6x + -6x

Combine like terms: 6x + -6x = 0
103 + -5x = -7 + 0
103 + -5x = -7

Add '-103' to each side of the equation.
103 + -103 + -5x = -7 + -103

Combine like terms: 103 + -103 = 0
0 + -5x = -7 + -103
-5x = -7 + -103

Combine like terms: -7 + -103 = -110
-5x = -110

Divide each side by '-5'.
x = 22

Simplifying
x = 22

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