3x+7-6(x+1)=6x+5

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Solution for 3x+7-6(x+1)=6x+5 equation:


Simplifying
3x + 7 + -6(x + 1) = 6x + 5

Reorder the terms:
3x + 7 + -6(1 + x) = 6x + 5
3x + 7 + (1 * -6 + x * -6) = 6x + 5
3x + 7 + (-6 + -6x) = 6x + 5

Reorder the terms:
7 + -6 + 3x + -6x = 6x + 5

Combine like terms: 7 + -6 = 1
1 + 3x + -6x = 6x + 5

Combine like terms: 3x + -6x = -3x
1 + -3x = 6x + 5

Reorder the terms:
1 + -3x = 5 + 6x

Solving
1 + -3x = 5 + 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.
1 + -3x + -6x = 5 + 6x + -6x

Combine like terms: -3x + -6x = -9x
1 + -9x = 5 + 6x + -6x

Combine like terms: 6x + -6x = 0
1 + -9x = 5 + 0
1 + -9x = 5

Add '-1' to each side of the equation.
1 + -1 + -9x = 5 + -1

Combine like terms: 1 + -1 = 0
0 + -9x = 5 + -1
-9x = 5 + -1

Combine like terms: 5 + -1 = 4
-9x = 4

Divide each side by '-9'.
x = -0.4444444444

Simplifying
x = -0.4444444444

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