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

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


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

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

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

Remove parenthesis around (2x)
7 + 3x = 5x + 2 * 2x + 1

Multiply 2 * 2
7 + 3x = 5x + 4x + 1

Reorder the terms:
7 + 3x = 1 + 5x + 4x

Combine like terms: 5x + 4x = 9x
7 + 3x = 1 + 9x

Solving
7 + 3x = 1 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
7 + 3x + -9x = 1 + 9x + -9x

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

Combine like terms: 9x + -9x = 0
7 + -6x = 1 + 0
7 + -6x = 1

Add '-7' to each side of the equation.
7 + -7 + -6x = 1 + -7

Combine like terms: 7 + -7 = 0
0 + -6x = 1 + -7
-6x = 1 + -7

Combine like terms: 1 + -7 = -6
-6x = -6

Divide each side by '-6'.
x = 1

Simplifying
x = 1

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