Question

Simplify and solve: 4(2x-1)=6x-10​

Answer 1

Answer:

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Step-by-step explanation:

Simplifying

4(2x + -1) = 6x + 10

Reorder the terms:

4(-1 + 2x) = 6x + 10

(-1 * 4 + 2x * 4) = 6x + 10

(-4 + 8x) = 6x + 10

Reorder the terms:

-4 + 8x = 10 + 6x

Solving

-4 + 8x = 10 + 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.

-4 + 8x + -6x = 10 + 6x + -6x

Combine like terms: 8x + -6x = 2x

-4 + 2x = 10 + 6x + -6x

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

-4 + 2x = 10 + 0

-4 + 2x = 10

Add '4' to each side of the equation.

-4 + 4 + 2x = 10 + 4

Combine like terms: -4 + 4 = 0

0 + 2x = 10 + 4

2x = 10 + 4

Combine like terms: 10 + 4 = 14

2x = 14

Divide each side by '2'.

x = 7

Simplifying

x = 7

Answer 2

QUESTION:

Simplify and solve: 4(2x-1)=6x-10

ANSWER:

We solve the bracket in LHS side.

$8x - 4 = 6x - 10$

we move the constant term one side and variable in other side

$8x - 6x = - 10 + 4 \\ 2x = - 6 \\ x = - 3$

$\huge\red{x= - 3}$

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