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

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


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

Reorder the terms:
7 + 2(-2 + 3x) = 5x + 1
7 + (-2 * 2 + 3x * 2) = 5x + 1
7 + (-4 + 6x) = 5x + 1

Combine like terms: 7 + -4 = 3
3 + 6x = 5x + 1

Reorder the terms:
3 + 6x = 1 + 5x

Solving
3 + 6x = 1 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
3 + 6x + -5x = 1 + 5x + -5x

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

Combine like terms: 5x + -5x = 0
3 + 1x = 1 + 0
3 + 1x = 1

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

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

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

Divide each side by '1'.
x = -2

Simplifying
x = -2

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