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

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


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

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

Reorder the terms:
1 + -3x = 2(7 + x)
1 + -3x = (7 * 2 + x * 2)
1 + -3x = (14 + 2x)

Solving
1 + -3x = 14 + 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.
1 + -3x + -2x = 14 + 2x + -2x

Combine like terms: -3x + -2x = -5x
1 + -5x = 14 + 2x + -2x

Combine like terms: 2x + -2x = 0
1 + -5x = 14 + 0
1 + -5x = 14

Add '-1' to each side of the equation.
1 + -1 + -5x = 14 + -1

Combine like terms: 1 + -1 = 0
0 + -5x = 14 + -1
-5x = 14 + -1

Combine like terms: 14 + -1 = 13
-5x = 13

Divide each side by '-5'.
x = -2.6

Simplifying
x = -2.6

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