4(x+2)-2(x+7)=x+5

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Solution for 4(x+2)-2(x+7)=x+5 equation:


Simplifying
4(x + 2) + -2(x + 7) = x + 5

Reorder the terms:
4(2 + x) + -2(x + 7) = x + 5
(2 * 4 + x * 4) + -2(x + 7) = x + 5
(8 + 4x) + -2(x + 7) = x + 5

Reorder the terms:
8 + 4x + -2(7 + x) = x + 5
8 + 4x + (7 * -2 + x * -2) = x + 5
8 + 4x + (-14 + -2x) = x + 5

Reorder the terms:
8 + -14 + 4x + -2x = x + 5

Combine like terms: 8 + -14 = -6
-6 + 4x + -2x = x + 5

Combine like terms: 4x + -2x = 2x
-6 + 2x = x + 5

Reorder the terms:
-6 + 2x = 5 + x

Solving
-6 + 2x = 5 + 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.
-6 + 2x + -1x = 5 + x + -1x

Combine like terms: 2x + -1x = 1x
-6 + 1x = 5 + x + -1x

Combine like terms: x + -1x = 0
-6 + 1x = 5 + 0
-6 + 1x = 5

Add '6' to each side of the equation.
-6 + 6 + 1x = 5 + 6

Combine like terms: -6 + 6 = 0
0 + 1x = 5 + 6
1x = 5 + 6

Combine like terms: 5 + 6 = 11
1x = 11

Divide each side by '1'.
x = 11

Simplifying
x = 11

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