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

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


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

Reorder the terms:
-7(2 + x) = 3 + -2(x + -4)
(2 * -7 + x * -7) = 3 + -2(x + -4)
(-14 + -7x) = 3 + -2(x + -4)

Reorder the terms:
-14 + -7x = 3 + -2(-4 + x)
-14 + -7x = 3 + (-4 * -2 + x * -2)
-14 + -7x = 3 + (8 + -2x)

Combine like terms: 3 + 8 = 11
-14 + -7x = 11 + -2x

Solving
-14 + -7x = 11 + -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.
-14 + -7x + 2x = 11 + -2x + 2x

Combine like terms: -7x + 2x = -5x
-14 + -5x = 11 + -2x + 2x

Combine like terms: -2x + 2x = 0
-14 + -5x = 11 + 0
-14 + -5x = 11

Add '14' to each side of the equation.
-14 + 14 + -5x = 11 + 14

Combine like terms: -14 + 14 = 0
0 + -5x = 11 + 14
-5x = 11 + 14

Combine like terms: 11 + 14 = 25
-5x = 25

Divide each side by '-5'.
x = -5

Simplifying
x = -5

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