4(x-5)+2=5(x+.6)

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Solution for 4(x-5)+2=5(x+.6) equation:


Simplifying
4(x + -5) + 2 = 5(x + 0.6)

Reorder the terms:
4(-5 + x) + 2 = 5(x + 0.6)
(-5 * 4 + x * 4) + 2 = 5(x + 0.6)
(-20 + 4x) + 2 = 5(x + 0.6)

Reorder the terms:
-20 + 2 + 4x = 5(x + 0.6)

Combine like terms: -20 + 2 = -18
-18 + 4x = 5(x + 0.6)

Reorder the terms:
-18 + 4x = 5(0.6 + x)
-18 + 4x = (0.6 * 5 + x * 5)
-18 + 4x = (3 + 5x)

Solving
-18 + 4x = 3 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-18 + 4x + -5x = 3 + 5x + -5x

Combine like terms: 4x + -5x = -1x
-18 + -1x = 3 + 5x + -5x

Combine like terms: 5x + -5x = 0
-18 + -1x = 3 + 0
-18 + -1x = 3

Add '18' to each side of the equation.
-18 + 18 + -1x = 3 + 18

Combine like terms: -18 + 18 = 0
0 + -1x = 3 + 18
-1x = 3 + 18

Combine like terms: 3 + 18 = 21
-1x = 21

Divide each side by '-1'.
x = -21

Simplifying
x = -21

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