x-6=-4x+7

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Solution for x-6=-4x+7 equation:


Simplifying
x + -6 = -4x + 7

Reorder the terms:
-6 + x = -4x + 7

Reorder the terms:
-6 + x = 7 + -4x

Solving
-6 + 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.
-6 + x + 4x = 7 + -4x + 4x

Combine like terms: x + 4x = 5x
-6 + 5x = 7 + -4x + 4x

Combine like terms: -4x + 4x = 0
-6 + 5x = 7 + 0
-6 + 5x = 7

Add '6' to each side of the equation.
-6 + 6 + 5x = 7 + 6

Combine like terms: -6 + 6 = 0
0 + 5x = 7 + 6
5x = 7 + 6

Combine like terms: 7 + 6 = 13
5x = 13

Divide each side by '5'.
x = 2.6

Simplifying
x = 2.6

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