3x+4(x-8)=18-(7x-20)

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Solution for 3x+4(x-8)=18-(7x-20) equation:


Simplifying
3x + 4(x + -8) = 18 + -1(7x + -20)

Reorder the terms:
3x + 4(-8 + x) = 18 + -1(7x + -20)
3x + (-8 * 4 + x * 4) = 18 + -1(7x + -20)
3x + (-32 + 4x) = 18 + -1(7x + -20)

Reorder the terms:
-32 + 3x + 4x = 18 + -1(7x + -20)

Combine like terms: 3x + 4x = 7x
-32 + 7x = 18 + -1(7x + -20)

Reorder the terms:
-32 + 7x = 18 + -1(-20 + 7x)
-32 + 7x = 18 + (-20 * -1 + 7x * -1)
-32 + 7x = 18 + (20 + -7x)

Combine like terms: 18 + 20 = 38
-32 + 7x = 38 + -7x

Solving
-32 + 7x = 38 + -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
-32 + 7x + 7x = 38 + -7x + 7x

Combine like terms: 7x + 7x = 14x
-32 + 14x = 38 + -7x + 7x

Combine like terms: -7x + 7x = 0
-32 + 14x = 38 + 0
-32 + 14x = 38

Add '32' to each side of the equation.
-32 + 32 + 14x = 38 + 32

Combine like terms: -32 + 32 = 0
0 + 14x = 38 + 32
14x = 38 + 32

Combine like terms: 38 + 32 = 70
14x = 70

Divide each side by '14'.
x = 5

Simplifying
x = 5

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