6-7x-3(x+3)=1-8x

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Solution for 6-7x-3(x+3)=1-8x equation:


Simplifying
6 + -7x + -3(x + 3) = 1 + -8x

Reorder the terms:
6 + -7x + -3(3 + x) = 1 + -8x
6 + -7x + (3 * -3 + x * -3) = 1 + -8x
6 + -7x + (-9 + -3x) = 1 + -8x

Reorder the terms:
6 + -9 + -7x + -3x = 1 + -8x

Combine like terms: 6 + -9 = -3
-3 + -7x + -3x = 1 + -8x

Combine like terms: -7x + -3x = -10x
-3 + -10x = 1 + -8x

Solving
-3 + -10x = 1 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
-3 + -10x + 8x = 1 + -8x + 8x

Combine like terms: -10x + 8x = -2x
-3 + -2x = 1 + -8x + 8x

Combine like terms: -8x + 8x = 0
-3 + -2x = 1 + 0
-3 + -2x = 1

Add '3' to each side of the equation.
-3 + 3 + -2x = 1 + 3

Combine like terms: -3 + 3 = 0
0 + -2x = 1 + 3
-2x = 1 + 3

Combine like terms: 1 + 3 = 4
-2x = 4

Divide each side by '-2'.
x = -2

Simplifying
x = -2

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