8-5(x+4)=5-2(x+7)

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Solution for 8-5(x+4)=5-2(x+7) equation:


Simplifying
8 + -5(x + 4) = 5 + -2(x + 7)

Reorder the terms:
8 + -5(4 + x) = 5 + -2(x + 7)
8 + (4 * -5 + x * -5) = 5 + -2(x + 7)
8 + (-20 + -5x) = 5 + -2(x + 7)

Combine like terms: 8 + -20 = -12
-12 + -5x = 5 + -2(x + 7)

Reorder the terms:
-12 + -5x = 5 + -2(7 + x)
-12 + -5x = 5 + (7 * -2 + x * -2)
-12 + -5x = 5 + (-14 + -2x)

Combine like terms: 5 + -14 = -9
-12 + -5x = -9 + -2x

Solving
-12 + -5x = -9 + -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.
-12 + -5x + 2x = -9 + -2x + 2x

Combine like terms: -5x + 2x = -3x
-12 + -3x = -9 + -2x + 2x

Combine like terms: -2x + 2x = 0
-12 + -3x = -9 + 0
-12 + -3x = -9

Add '12' to each side of the equation.
-12 + 12 + -3x = -9 + 12

Combine like terms: -12 + 12 = 0
0 + -3x = -9 + 12
-3x = -9 + 12

Combine like terms: -9 + 12 = 3
-3x = 3

Divide each side by '-3'.
x = -1

Simplifying
x = -1

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