2x+1=7x-9

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Solution for 2x+1=7x-9 equation:


Simplifying
2x + 1 = 7x + -9

Reorder the terms:
1 + 2x = 7x + -9

Reorder the terms:
1 + 2x = -9 + 7x

Solving
1 + 2x = -9 + 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.
1 + 2x + -7x = -9 + 7x + -7x

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

Combine like terms: 7x + -7x = 0
1 + -5x = -9 + 0
1 + -5x = -9

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

Combine like terms: 1 + -1 = 0
0 + -5x = -9 + -1
-5x = -9 + -1

Combine like terms: -9 + -1 = -10
-5x = -10

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

Simplifying
x = 2

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