4(2x-1)=10(x-5)

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Solution for 4(2x-1)=10(x-5) equation:


Simplifying
4(2x + -1) = 10(x + -5)

Reorder the terms:
4(-1 + 2x) = 10(x + -5)
(-1 * 4 + 2x * 4) = 10(x + -5)
(-4 + 8x) = 10(x + -5)

Reorder the terms:
-4 + 8x = 10(-5 + x)
-4 + 8x = (-5 * 10 + x * 10)
-4 + 8x = (-50 + 10x)

Solving
-4 + 8x = -50 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
-4 + 8x + -10x = -50 + 10x + -10x

Combine like terms: 8x + -10x = -2x
-4 + -2x = -50 + 10x + -10x

Combine like terms: 10x + -10x = 0
-4 + -2x = -50 + 0
-4 + -2x = -50

Add '4' to each side of the equation.
-4 + 4 + -2x = -50 + 4

Combine like terms: -4 + 4 = 0
0 + -2x = -50 + 4
-2x = -50 + 4

Combine like terms: -50 + 4 = -46
-2x = -46

Divide each side by '-2'.
x = 23

Simplifying
x = 23

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