10(x-1)=2(2x)-5

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Solution for 10(x-1)=2(2x)-5 equation:


Simplifying
10(x + -1) = 2(2x) + -5

Reorder the terms:
10(-1 + x) = 2(2x) + -5
(-1 * 10 + x * 10) = 2(2x) + -5
(-10 + 10x) = 2(2x) + -5

Remove parenthesis around (2x)
-10 + 10x = 2 * 2x + -5

Multiply 2 * 2
-10 + 10x = 4x + -5

Reorder the terms:
-10 + 10x = -5 + 4x

Solving
-10 + 10x = -5 + 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.
-10 + 10x + -4x = -5 + 4x + -4x

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

Combine like terms: 4x + -4x = 0
-10 + 6x = -5 + 0
-10 + 6x = -5

Add '10' to each side of the equation.
-10 + 10 + 6x = -5 + 10

Combine like terms: -10 + 10 = 0
0 + 6x = -5 + 10
6x = -5 + 10

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

Divide each side by '6'.
x = 0.8333333333

Simplifying
x = 0.8333333333

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