5x+3(x-3)+7=2x-1

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Solution for 5x+3(x-3)+7=2x-1 equation:


Simplifying
5x + 3(x + -3) + 7 = 2x + -1

Reorder the terms:
5x + 3(-3 + x) + 7 = 2x + -1
5x + (-3 * 3 + x * 3) + 7 = 2x + -1
5x + (-9 + 3x) + 7 = 2x + -1

Reorder the terms:
-9 + 7 + 5x + 3x = 2x + -1

Combine like terms: -9 + 7 = -2
-2 + 5x + 3x = 2x + -1

Combine like terms: 5x + 3x = 8x
-2 + 8x = 2x + -1

Reorder the terms:
-2 + 8x = -1 + 2x

Solving
-2 + 8x = -1 + 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.
-2 + 8x + -2x = -1 + 2x + -2x

Combine like terms: 8x + -2x = 6x
-2 + 6x = -1 + 2x + -2x

Combine like terms: 2x + -2x = 0
-2 + 6x = -1 + 0
-2 + 6x = -1

Add '2' to each side of the equation.
-2 + 2 + 6x = -1 + 2

Combine like terms: -2 + 2 = 0
0 + 6x = -1 + 2
6x = -1 + 2

Combine like terms: -1 + 2 = 1
6x = 1

Divide each side by '6'.
x = 0.1666666667

Simplifying
x = 0.1666666667

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