18-4(x-5)=8(2x+5)-50

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Solution for 18-4(x-5)=8(2x+5)-50 equation:


Simplifying
18 + -4(x + -5) = 8(2x + 5) + -50

Reorder the terms:
18 + -4(-5 + x) = 8(2x + 5) + -50
18 + (-5 * -4 + x * -4) = 8(2x + 5) + -50
18 + (20 + -4x) = 8(2x + 5) + -50

Combine like terms: 18 + 20 = 38
38 + -4x = 8(2x + 5) + -50

Reorder the terms:
38 + -4x = 8(5 + 2x) + -50
38 + -4x = (5 * 8 + 2x * 8) + -50
38 + -4x = (40 + 16x) + -50

Reorder the terms:
38 + -4x = 40 + -50 + 16x

Combine like terms: 40 + -50 = -10
38 + -4x = -10 + 16x

Solving
38 + -4x = -10 + 16x

Solving for variable 'x'.

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

Add '-16x' to each side of the equation.
38 + -4x + -16x = -10 + 16x + -16x

Combine like terms: -4x + -16x = -20x
38 + -20x = -10 + 16x + -16x

Combine like terms: 16x + -16x = 0
38 + -20x = -10 + 0
38 + -20x = -10

Add '-38' to each side of the equation.
38 + -38 + -20x = -10 + -38

Combine like terms: 38 + -38 = 0
0 + -20x = -10 + -38
-20x = -10 + -38

Combine like terms: -10 + -38 = -48
-20x = -48

Divide each side by '-20'.
x = 2.4

Simplifying
x = 2.4

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