(-7)(x+3)=(2)(x+4)

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Solution for (-7)(x+3)=(2)(x+4) equation:


Simplifying
(-7)(x + 3) = (2)(x + 4)

Reorder the terms:
-7(3 + x) = (2)(x + 4)
(3 * -7 + x * -7) = (2)(x + 4)
(-21 + -7x) = (2)(x + 4)

Reorder the terms:
-21 + -7x = 2(4 + x)
-21 + -7x = (4 * 2 + x * 2)
-21 + -7x = (8 + 2x)

Solving
-21 + -7x = 8 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-21 + -7x + -2x = 8 + 2x + -2x

Combine like terms: -7x + -2x = -9x
-21 + -9x = 8 + 2x + -2x

Combine like terms: 2x + -2x = 0
-21 + -9x = 8 + 0
-21 + -9x = 8

Add '21' to each side of the equation.
-21 + 21 + -9x = 8 + 21

Combine like terms: -21 + 21 = 0
0 + -9x = 8 + 21
-9x = 8 + 21

Combine like terms: 8 + 21 = 29
-9x = 29

Divide each side by '-9'.
x = -3.222222222

Simplifying
x = -3.222222222

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