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

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


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

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

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

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

Reorder the terms:
-25 + 4x = 7.4 + 6x

Solving
-25 + 4x = 7.4 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-25 + 4x + -6x = 7.4 + 6x + -6x

Combine like terms: 4x + -6x = -2x
-25 + -2x = 7.4 + 6x + -6x

Combine like terms: 6x + -6x = 0
-25 + -2x = 7.4 + 0
-25 + -2x = 7.4

Add '25' to each side of the equation.
-25 + 25 + -2x = 7.4 + 25

Combine like terms: -25 + 25 = 0
0 + -2x = 7.4 + 25
-2x = 7.4 + 25

Combine like terms: 7.4 + 25 = 32.4
-2x = 32.4

Divide each side by '-2'.
x = -16.2

Simplifying
x = -16.2

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