3(3+1)-(x-1)=6(x+10)

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Solution for 3(3+1)-(x-1)=6(x+10) equation:


Simplifying
3(3 + 1) + -1(x + -1) = 6(x + 10)

Combine like terms: 3 + 1 = 4
3(4) + -1(x + -1) = 6(x + 10)

Multiply 3 * 4
12 + -1(x + -1) = 6(x + 10)

Reorder the terms:
12 + -1(-1 + x) = 6(x + 10)
12 + (-1 * -1 + x * -1) = 6(x + 10)
12 + (1 + -1x) = 6(x + 10)

Combine like terms: 12 + 1 = 13
13 + -1x = 6(x + 10)

Reorder the terms:
13 + -1x = 6(10 + x)
13 + -1x = (10 * 6 + x * 6)
13 + -1x = (60 + 6x)

Solving
13 + -1x = 60 + 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.
13 + -1x + -6x = 60 + 6x + -6x

Combine like terms: -1x + -6x = -7x
13 + -7x = 60 + 6x + -6x

Combine like terms: 6x + -6x = 0
13 + -7x = 60 + 0
13 + -7x = 60

Add '-13' to each side of the equation.
13 + -13 + -7x = 60 + -13

Combine like terms: 13 + -13 = 0
0 + -7x = 60 + -13
-7x = 60 + -13

Combine like terms: 60 + -13 = 47
-7x = 47

Divide each side by '-7'.
x = -6.714285714

Simplifying
x = -6.714285714

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