7(x-4)=-x-10

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


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

Reorder the terms:
7(-4 + x) = -1x + -10
(-4 * 7 + x * 7) = -1x + -10
(-28 + 7x) = -1x + -10

Reorder the terms:
-28 + 7x = -10 + -1x

Solving
-28 + 7x = -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.
-28 + 7x + x = -10 + -1x + x

Combine like terms: 7x + x = 8x
-28 + 8x = -10 + -1x + x

Combine like terms: -1x + x = 0
-28 + 8x = -10 + 0
-28 + 8x = -10

Add '28' to each side of the equation.
-28 + 28 + 8x = -10 + 28

Combine like terms: -28 + 28 = 0
0 + 8x = -10 + 28
8x = -10 + 28

Combine like terms: -10 + 28 = 18
8x = 18

Divide each side by '8'.
x = 2.25

Simplifying
x = 2.25

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