18-(5x+8)=4(3x-7)

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Solution for 18-(5x+8)=4(3x-7) equation:


Simplifying
18 + -1(5x + 8) = 4(3x + -7)

Reorder the terms:
18 + -1(8 + 5x) = 4(3x + -7)
18 + (8 * -1 + 5x * -1) = 4(3x + -7)
18 + (-8 + -5x) = 4(3x + -7)

Combine like terms: 18 + -8 = 10
10 + -5x = 4(3x + -7)

Reorder the terms:
10 + -5x = 4(-7 + 3x)
10 + -5x = (-7 * 4 + 3x * 4)
10 + -5x = (-28 + 12x)

Solving
10 + -5x = -28 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
10 + -5x + -12x = -28 + 12x + -12x

Combine like terms: -5x + -12x = -17x
10 + -17x = -28 + 12x + -12x

Combine like terms: 12x + -12x = 0
10 + -17x = -28 + 0
10 + -17x = -28

Add '-10' to each side of the equation.
10 + -10 + -17x = -28 + -10

Combine like terms: 10 + -10 = 0
0 + -17x = -28 + -10
-17x = -28 + -10

Combine like terms: -28 + -10 = -38
-17x = -38

Divide each side by '-17'.
x = 2.235294118

Simplifying
x = 2.235294118

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