10(x-4)=6x+5

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Solution for 10(x-4)=6x+5 equation:


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

Reorder the terms:
10(-4 + x) = 6x + 5
(-4 * 10 + x * 10) = 6x + 5
(-40 + 10x) = 6x + 5

Reorder the terms:
-40 + 10x = 5 + 6x

Solving
-40 + 10x = 5 + 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.
-40 + 10x + -6x = 5 + 6x + -6x

Combine like terms: 10x + -6x = 4x
-40 + 4x = 5 + 6x + -6x

Combine like terms: 6x + -6x = 0
-40 + 4x = 5 + 0
-40 + 4x = 5

Add '40' to each side of the equation.
-40 + 40 + 4x = 5 + 40

Combine like terms: -40 + 40 = 0
0 + 4x = 5 + 40
4x = 5 + 40

Combine like terms: 5 + 40 = 45
4x = 45

Divide each side by '4'.
x = 11.25

Simplifying
x = 11.25

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