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

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


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

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

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

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

Solving
1 + 6x = 6 + 5x

Solving for variable 'x'.

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

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

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

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

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

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

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

Divide each side by '1'.
x = 5

Simplifying
x = 5

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