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

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


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

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

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

Combine like terms: 2x + -5x = -3x
-20 + -3x = -7 + 4x + -8

Reorder the terms:
-20 + -3x = -7 + -8 + 4x

Combine like terms: -7 + -8 = -15
-20 + -3x = -15 + 4x

Solving
-20 + -3x = -15 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-20 + -3x + -4x = -15 + 4x + -4x

Combine like terms: -3x + -4x = -7x
-20 + -7x = -15 + 4x + -4x

Combine like terms: 4x + -4x = 0
-20 + -7x = -15 + 0
-20 + -7x = -15

Add '20' to each side of the equation.
-20 + 20 + -7x = -15 + 20

Combine like terms: -20 + 20 = 0
0 + -7x = -15 + 20
-7x = -15 + 20

Combine like terms: -15 + 20 = 5
-7x = 5

Divide each side by '-7'.
x = -0.7142857143

Simplifying
x = -0.7142857143

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