10-4(x+7)=-5x

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Solution for 10-4(x+7)=-5x equation:


Simplifying
10 + -4(x + 7) = -5x

Reorder the terms:
10 + -4(7 + x) = -5x
10 + (7 * -4 + x * -4) = -5x
10 + (-28 + -4x) = -5x

Combine like terms: 10 + -28 = -18
-18 + -4x = -5x

Solving
-18 + -4x = -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
-18 + -4x + 5x = -5x + 5x

Combine like terms: -4x + 5x = 1x
-18 + 1x = -5x + 5x

Combine like terms: -5x + 5x = 0
-18 + 1x = 0

Add '18' to each side of the equation.
-18 + 18 + 1x = 0 + 18

Combine like terms: -18 + 18 = 0
0 + 1x = 0 + 18
1x = 0 + 18

Combine like terms: 0 + 18 = 18
1x = 18

Divide each side by '1'.
x = 18

Simplifying
x = 18

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