9-4x+7=3x+2

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Solution for 9-4x+7=3x+2 equation:


Simplifying
9 + -4x + 7 = 3x + 2

Reorder the terms:
9 + 7 + -4x = 3x + 2

Combine like terms: 9 + 7 = 16
16 + -4x = 3x + 2

Reorder the terms:
16 + -4x = 2 + 3x

Solving
16 + -4x = 2 + 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.
16 + -4x + -3x = 2 + 3x + -3x

Combine like terms: -4x + -3x = -7x
16 + -7x = 2 + 3x + -3x

Combine like terms: 3x + -3x = 0
16 + -7x = 2 + 0
16 + -7x = 2

Add '-16' to each side of the equation.
16 + -16 + -7x = 2 + -16

Combine like terms: 16 + -16 = 0
0 + -7x = 2 + -16
-7x = 2 + -16

Combine like terms: 2 + -16 = -14
-7x = -14

Divide each side by '-7'.
x = 2

Simplifying
x = 2

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