Question

7-2(5x-3x)=4(x-3)+5​

Answer 1

Answer:

Simplifying

7 + -2(5 + -3X) = 4(X + -3) + 5

7 + (5 * -2 + -3X * -2) = 4(X + -3) + 5

7 + (-10 + 6X) = 4(X + -3) + 5

Combine like terms: 7 + -10 = -3

-3 + 6X = 4(X + -3) + 5

Reorder the terms:

-3 + 6X = 4(-3 + X) + 5

-3 + 6X = (-3 * 4 + X * 4) + 5

-3 + 6X = (-12 + 4X) + 5

Reorder the terms:

-3 + 6X = -12 + 5 + 4X

Combine like terms: -12 + 5 = -7

-3 + 6X = -7 + 4X

Solving

-3 + 6X = -7 + 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.

-3 + 6X + -4X = -7 + 4X + -4X

Combine like terms: 6X + -4X = 2X

-3 + 2X = -7 + 4X + -4X

Combine like terms: 4X + -4X = 0

-3 + 2X = -7 + 0

-3 + 2X = -7

Add '3' to each side of the equation.

-3 + 3 + 2X = -7 + 3

Combine like terms: -3 + 3 = 0

0 + 2X = -7 + 3

2X = -7 + 3

Combine like terms: -7 + 3 = -4

2X = -4

Divide each side by '2'.

X = -2

Simplifying

X = -2