4(x-5)-5=6+7.4-4x

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Solution for 4(x-5)-5=6+7.4-4x equation:


Simplifying
4(x + -5) + -5 = 6 + 7.4 + -4x

Reorder the terms:
4(-5 + x) + -5 = 6 + 7.4 + -4x
(-5 * 4 + x * 4) + -5 = 6 + 7.4 + -4x
(-20 + 4x) + -5 = 6 + 7.4 + -4x

Reorder the terms:
-20 + -5 + 4x = 6 + 7.4 + -4x

Combine like terms: -20 + -5 = -25
-25 + 4x = 6 + 7.4 + -4x

Combine like terms: 6 + 7.4 = 13.4
-25 + 4x = 13.4 + -4x

Solving
-25 + 4x = 13.4 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
-25 + 4x + 4x = 13.4 + -4x + 4x

Combine like terms: 4x + 4x = 8x
-25 + 8x = 13.4 + -4x + 4x

Combine like terms: -4x + 4x = 0
-25 + 8x = 13.4 + 0
-25 + 8x = 13.4

Add '25' to each side of the equation.
-25 + 25 + 8x = 13.4 + 25

Combine like terms: -25 + 25 = 0
0 + 8x = 13.4 + 25
8x = 13.4 + 25

Combine like terms: 13.4 + 25 = 38.4
8x = 38.4

Divide each side by '8'.
x = 4.8

Simplifying
x = 4.8

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