7(x-1)=3x+9-2(-6x-1)

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Solution for 7(x-1)=3x+9-2(-6x-1) equation:


Simplifying
7(x + -1) = 3x + 9 + -2(-6x + -1)

Reorder the terms:
7(-1 + x) = 3x + 9 + -2(-6x + -1)
(-1 * 7 + x * 7) = 3x + 9 + -2(-6x + -1)
(-7 + 7x) = 3x + 9 + -2(-6x + -1)

Reorder the terms:
-7 + 7x = 3x + 9 + -2(-1 + -6x)
-7 + 7x = 3x + 9 + (-1 * -2 + -6x * -2)
-7 + 7x = 3x + 9 + (2 + 12x)

Reorder the terms:
-7 + 7x = 9 + 2 + 3x + 12x

Combine like terms: 9 + 2 = 11
-7 + 7x = 11 + 3x + 12x

Combine like terms: 3x + 12x = 15x
-7 + 7x = 11 + 15x

Solving
-7 + 7x = 11 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
-7 + 7x + -15x = 11 + 15x + -15x

Combine like terms: 7x + -15x = -8x
-7 + -8x = 11 + 15x + -15x

Combine like terms: 15x + -15x = 0
-7 + -8x = 11 + 0
-7 + -8x = 11

Add '7' to each side of the equation.
-7 + 7 + -8x = 11 + 7

Combine like terms: -7 + 7 = 0
0 + -8x = 11 + 7
-8x = 11 + 7

Combine like terms: 11 + 7 = 18
-8x = 18

Divide each side by '-8'.
x = -2.25

Simplifying
x = -2.25

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