(4x-7)+2=-x+10

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Solution for (4x-7)+2=-x+10 equation:


Simplifying
(4x + -7) + 2 = -1x + 10

Reorder the terms:
(-7 + 4x) + 2 = -1x + 10

Remove parenthesis around (-7 + 4x)
-7 + 4x + 2 = -1x + 10

Reorder the terms:
-7 + 2 + 4x = -1x + 10

Combine like terms: -7 + 2 = -5
-5 + 4x = -1x + 10

Reorder the terms:
-5 + 4x = 10 + -1x

Solving
-5 + 4x = 10 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-5 + 4x + x = 10 + -1x + x

Combine like terms: 4x + x = 5x
-5 + 5x = 10 + -1x + x

Combine like terms: -1x + x = 0
-5 + 5x = 10 + 0
-5 + 5x = 10

Add '5' to each side of the equation.
-5 + 5 + 5x = 10 + 5

Combine like terms: -5 + 5 = 0
0 + 5x = 10 + 5
5x = 10 + 5

Combine like terms: 10 + 5 = 15
5x = 15

Divide each side by '5'.
x = 3

Simplifying
x = 3

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