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

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


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

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

Combine like terms: -4x + x = -3x
2 + -3x = 7 + 2(x + 10)

Reorder the terms:
2 + -3x = 7 + 2(10 + x)
2 + -3x = 7 + (10 * 2 + x * 2)
2 + -3x = 7 + (20 + 2x)

Combine like terms: 7 + 20 = 27
2 + -3x = 27 + 2x

Solving
2 + -3x = 27 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
2 + -3x + -2x = 27 + 2x + -2x

Combine like terms: -3x + -2x = -5x
2 + -5x = 27 + 2x + -2x

Combine like terms: 2x + -2x = 0
2 + -5x = 27 + 0
2 + -5x = 27

Add '-2' to each side of the equation.
2 + -2 + -5x = 27 + -2

Combine like terms: 2 + -2 = 0
0 + -5x = 27 + -2
-5x = 27 + -2

Combine like terms: 27 + -2 = 25
-5x = 25

Divide each side by '-5'.
x = -5

Simplifying
x = -5

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