4x+2=7x-9

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Solution for 4x+2=7x-9 equation:


Simplifying
4x + 2 = 7x + -9

Reorder the terms:
2 + 4x = 7x + -9

Reorder the terms:
2 + 4x = -9 + 7x

Solving
2 + 4x = -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.
2 + 4x + -7x = -9 + 7x + -7x

Combine like terms: 4x + -7x = -3x
2 + -3x = -9 + 7x + -7x

Combine like terms: 7x + -7x = 0
2 + -3x = -9 + 0
2 + -3x = -9

Add '-2' to each side of the equation.
2 + -2 + -3x = -9 + -2

Combine like terms: 2 + -2 = 0
0 + -3x = -9 + -2
-3x = -9 + -2

Combine like terms: -9 + -2 = -11
-3x = -11

Divide each side by '-3'.
x = 3.666666667

Simplifying
x = 3.666666667

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