7x+2=3x-7

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Solution for 7x+2=3x-7 equation:


Simplifying
7x + 2 = 3x + -7

Reorder the terms:
2 + 7x = 3x + -7

Reorder the terms:
2 + 7x = -7 + 3x

Solving
2 + 7x = -7 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
2 + 7x + -3x = -7 + 3x + -3x

Combine like terms: 7x + -3x = 4x
2 + 4x = -7 + 3x + -3x

Combine like terms: 3x + -3x = 0
2 + 4x = -7 + 0
2 + 4x = -7

Add '-2' to each side of the equation.
2 + -2 + 4x = -7 + -2

Combine like terms: 2 + -2 = 0
0 + 4x = -7 + -2
4x = -7 + -2

Combine like terms: -7 + -2 = -9
4x = -9

Divide each side by '4'.
x = -2.25

Simplifying
x = -2.25

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