x+7=6x+4-x

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


Simplifying
x + 7 = 6x + 4 + -1x

Reorder the terms:
7 + x = 6x + 4 + -1x

Reorder the terms:
7 + x = 4 + 6x + -1x

Combine like terms: 6x + -1x = 5x
7 + x = 4 + 5x

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

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

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

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

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

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

Divide each side by '-4'.
x = 0.75

Simplifying
x = 0.75

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