4x+7=x-10

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Solution for 4x+7=x-10 equation:


Simplifying
4x + 7 = x + -10

Reorder the terms:
7 + 4x = x + -10

Reorder the terms:
7 + 4x = -10 + x

Solving
7 + 4x = -10 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
7 + 4x + -1x = -10 + x + -1x

Combine like terms: 4x + -1x = 3x
7 + 3x = -10 + x + -1x

Combine like terms: x + -1x = 0
7 + 3x = -10 + 0
7 + 3x = -10

Add '-7' to each side of the equation.
7 + -7 + 3x = -10 + -7

Combine like terms: 7 + -7 = 0
0 + 3x = -10 + -7
3x = -10 + -7

Combine like terms: -10 + -7 = -17
3x = -17

Divide each side by '3'.
x = -5.666666667

Simplifying
x = -5.666666667

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