4x-2=-5x+7

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Solution for 4x-2=-5x+7 equation:


Simplifying
4x + -2 = -5x + 7

Reorder the terms:
-2 + 4x = -5x + 7

Reorder the terms:
-2 + 4x = 7 + -5x

Solving
-2 + 4x = 7 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
-2 + 4x + 5x = 7 + -5x + 5x

Combine like terms: 4x + 5x = 9x
-2 + 9x = 7 + -5x + 5x

Combine like terms: -5x + 5x = 0
-2 + 9x = 7 + 0
-2 + 9x = 7

Add '2' to each side of the equation.
-2 + 2 + 9x = 7 + 2

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

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

Divide each side by '9'.
x = 1

Simplifying
x = 1

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