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

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


Simplifying
-4(x + 5) = 7(-1x + -2)

Reorder the terms:
-4(5 + x) = 7(-1x + -2)
(5 * -4 + x * -4) = 7(-1x + -2)
(-20 + -4x) = 7(-1x + -2)

Reorder the terms:
-20 + -4x = 7(-2 + -1x)
-20 + -4x = (-2 * 7 + -1x * 7)
-20 + -4x = (-14 + -7x)

Solving
-20 + -4x = -14 + -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
-20 + -4x + 7x = -14 + -7x + 7x

Combine like terms: -4x + 7x = 3x
-20 + 3x = -14 + -7x + 7x

Combine like terms: -7x + 7x = 0
-20 + 3x = -14 + 0
-20 + 3x = -14

Add '20' to each side of the equation.
-20 + 20 + 3x = -14 + 20

Combine like terms: -20 + 20 = 0
0 + 3x = -14 + 20
3x = -14 + 20

Combine like terms: -14 + 20 = 6
3x = 6

Divide each side by '3'.
x = 2

Simplifying
x = 2

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