2x+6(x-1)=7x+5

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Solution for 2x+6(x-1)=7x+5 equation:


Simplifying
2x + 6(x + -1) = 7x + 5

Reorder the terms:
2x + 6(-1 + x) = 7x + 5
2x + (-1 * 6 + x * 6) = 7x + 5
2x + (-6 + 6x) = 7x + 5

Reorder the terms:
-6 + 2x + 6x = 7x + 5

Combine like terms: 2x + 6x = 8x
-6 + 8x = 7x + 5

Reorder the terms:
-6 + 8x = 5 + 7x

Solving
-6 + 8x = 5 + 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.
-6 + 8x + -7x = 5 + 7x + -7x

Combine like terms: 8x + -7x = 1x
-6 + 1x = 5 + 7x + -7x

Combine like terms: 7x + -7x = 0
-6 + 1x = 5 + 0
-6 + 1x = 5

Add '6' to each side of the equation.
-6 + 6 + 1x = 5 + 6

Combine like terms: -6 + 6 = 0
0 + 1x = 5 + 6
1x = 5 + 6

Combine like terms: 5 + 6 = 11
1x = 11

Divide each side by '1'.
x = 11

Simplifying
x = 11

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