x-2=-4x+7

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


Simplifying
x + -2 = -4x + 7

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

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

Solving
-2 + x = 7 + -4x

Solving for variable 'x'.

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

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

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

Combine like terms: -4x + 4x = 0
-2 + 5x = 7 + 0
-2 + 5x = 7

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

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

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

Divide each side by '5'.
x = 1.8

Simplifying
x = 1.8

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