Question

5(x-13) = 10x -(2x+5)

Answer 1

Simplifying

5[x + -13] = 10x + -1[2x + 5]

Reorder the terms:

5[-13 + x] = 10x + -1[2x + 5]

[-13 * 5 + x * 5] = 10x + -1[2x + 5]

[-65 + 5x] = 10x + -1[2x + 5]

Reorder the terms:

-65 + 5x = 10x + -1[5 + 2x]

-65 + 5x = 10x + [5 * -1 + 2x * -1]

-65 + 5x = 10x + [-5 + -2x]

Reorder the terms:

-65 + 5x = -5 + 10x + -2x

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

-65 + 5x = -5 + 8x

Solving

-65 + 5x = -5 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.

-65 + 5x + -8x = -5 + 8x + -8x

Combine like terms: 5x + -8x = -3x

-65 + -3x = -5 + 8x + -8x

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

-65 + -3x = -5 + 0

-65 + -3x = -5

Add '65' to each side of the equation.

-65 + 65 + -3x = -5 + 65

Combine like terms: -65 + 65 = 0

0 + -3x = -5 + 65

-3x = -5 + 65

Combine like terms: -5 + 65 = 60

-3x = 60

Divide each side by '-3'.

x = -20

Simplifying

x = -20

Answer 2

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HERE IS UR ANSWER --

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SIMPLIFY ::

$5(x-13) = 10x - (2x + 5)$

Multiply 5 with x and with (-3) in the LHS and open the bracket in the RHS.

 $5x - 65 = 10x - 2x - 5$

Now subtract 2x from 10x in the RHS..

$5x - 65 = 8x - 5$

Now take 8x in the LHS by changing the sign to ( - ) and take (-65) to RHS by changing the sign to ( + )..

$5x - 8x = -5 + 65$

Now subtract 8x from 5x in the LHS and then subtract 5 from RHS..

$-3x = 60$

Now in the LHS , 3 is in multiply , so take it in the RHS in the form of division.

$x = 60/(-3)$

$x = 20/(-1)$

$x = -20$

HOPE IT HELPS !!!!