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

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


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

Reorder the terms:
6x + -3(3 + x) + 1 = -5x + 7x + -3
6x + (3 * -3 + x * -3) + 1 = -5x + 7x + -3
6x + (-9 + -3x) + 1 = -5x + 7x + -3

Reorder the terms:
-9 + 1 + 6x + -3x = -5x + 7x + -3

Combine like terms: -9 + 1 = -8
-8 + 6x + -3x = -5x + 7x + -3

Combine like terms: 6x + -3x = 3x
-8 + 3x = -5x + 7x + -3

Reorder the terms:
-8 + 3x = -3 + -5x + 7x

Combine like terms: -5x + 7x = 2x
-8 + 3x = -3 + 2x

Solving
-8 + 3x = -3 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-8 + 3x + -2x = -3 + 2x + -2x

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

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

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

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

Combine like terms: -3 + 8 = 5
1x = 5

Divide each side by '1'.
x = 5

Simplifying
x = 5

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