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

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


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

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

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

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

Solving
-9 + 5x = 1 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-9 + 5x + -7x = 1 + 7x + -7x

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

Combine like terms: 7x + -7x = 0
-9 + -2x = 1 + 0
-9 + -2x = 1

Add '9' to each side of the equation.
-9 + 9 + -2x = 1 + 9

Combine like terms: -9 + 9 = 0
0 + -2x = 1 + 9
-2x = 1 + 9

Combine like terms: 1 + 9 = 10
-2x = 10

Divide each side by '-2'.
x = -5

Simplifying
x = -5

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