5x+4(x-20)=62-(x-2)

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Solution for 5x+4(x-20)=62-(x-2) equation:


Simplifying
5x + 4(x + -20) = 62 + -1(x + -2)

Reorder the terms:
5x + 4(-20 + x) = 62 + -1(x + -2)
5x + (-20 * 4 + x * 4) = 62 + -1(x + -2)
5x + (-80 + 4x) = 62 + -1(x + -2)

Reorder the terms:
-80 + 5x + 4x = 62 + -1(x + -2)

Combine like terms: 5x + 4x = 9x
-80 + 9x = 62 + -1(x + -2)

Reorder the terms:
-80 + 9x = 62 + -1(-2 + x)
-80 + 9x = 62 + (-2 * -1 + x * -1)
-80 + 9x = 62 + (2 + -1x)

Combine like terms: 62 + 2 = 64
-80 + 9x = 64 + -1x

Solving
-80 + 9x = 64 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-80 + 9x + x = 64 + -1x + x

Combine like terms: 9x + x = 10x
-80 + 10x = 64 + -1x + x

Combine like terms: -1x + x = 0
-80 + 10x = 64 + 0
-80 + 10x = 64

Add '80' to each side of the equation.
-80 + 80 + 10x = 64 + 80

Combine like terms: -80 + 80 = 0
0 + 10x = 64 + 80
10x = 64 + 80

Combine like terms: 64 + 80 = 144
10x = 144

Divide each side by '10'.
x = 14.4

Simplifying
x = 14.4

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