10x+(2-x)=7x+6

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Solution for 10x+(2-x)=7x+6 equation:


Simplifying
10x + (2 + -1x) = 7x + 6

Remove parenthesis around (2 + -1x)
10x + 2 + -1x = 7x + 6

Reorder the terms:
2 + 10x + -1x = 7x + 6

Combine like terms: 10x + -1x = 9x
2 + 9x = 7x + 6

Reorder the terms:
2 + 9x = 6 + 7x

Solving
2 + 9x = 6 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
2 + 9x + -7x = 6 + 7x + -7x

Combine like terms: 9x + -7x = 2x
2 + 2x = 6 + 7x + -7x

Combine like terms: 7x + -7x = 0
2 + 2x = 6 + 0
2 + 2x = 6

Add '-2' to each side of the equation.
2 + -2 + 2x = 6 + -2

Combine like terms: 2 + -2 = 0
0 + 2x = 6 + -2
2x = 6 + -2

Combine like terms: 6 + -2 = 4
2x = 4

Divide each side by '2'.
x = 2

Simplifying
x = 2

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