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

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


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

Reorder the terms:
10 + -4(2 + x) = 7 + x
10 + (2 * -4 + x * -4) = 7 + x
10 + (-8 + -4x) = 7 + x

Combine like terms: 10 + -8 = 2
2 + -4x = 7 + x

Solving
2 + -4x = 7 + 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.
2 + -4x + -1x = 7 + x + -1x

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

Combine like terms: x + -1x = 0
2 + -5x = 7 + 0
2 + -5x = 7

Add '-2' to each side of the equation.
2 + -2 + -5x = 7 + -2

Combine like terms: 2 + -2 = 0
0 + -5x = 7 + -2
-5x = 7 + -2

Combine like terms: 7 + -2 = 5
-5x = 5

Divide each side by '-5'.
x = -1

Simplifying
x = -1

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