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

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


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

Reorder the terms:
3 + 5(2 + x) = 7x + 1
3 + (2 * 5 + x * 5) = 7x + 1
3 + (10 + 5x) = 7x + 1

Combine like terms: 3 + 10 = 13
13 + 5x = 7x + 1

Reorder the terms:
13 + 5x = 1 + 7x

Solving
13 + 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.
13 + 5x + -7x = 1 + 7x + -7x

Combine like terms: 5x + -7x = -2x
13 + -2x = 1 + 7x + -7x

Combine like terms: 7x + -7x = 0
13 + -2x = 1 + 0
13 + -2x = 1

Add '-13' to each side of the equation.
13 + -13 + -2x = 1 + -13

Combine like terms: 13 + -13 = 0
0 + -2x = 1 + -13
-2x = 1 + -13

Combine like terms: 1 + -13 = -12
-2x = -12

Divide each side by '-2'.
x = 6

Simplifying
x = 6

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