Math, asked by jagdevrollings7, 9 months ago

Solve : 2 (x - 5) + 3 (x - 2) = 8 + 7 (x - 4) and check your answer.​

Answers

Answered by braner
4

Step-by-step explanation:

Simplifying

2(x + -5) + 3(x + -2) = 8 + 7(x + -4)

Reorder the terms:

2(-5 + x) + 3(x + -2) = 8 + 7(x + -4)

(-5 * 2 + x * 2) + 3(x + -2) = 8 + 7(x + -4)

(-10 + 2x) + 3(x + -2) = 8 + 7(x + -4)

Reorder the terms:

-10 + 2x + 3(-2 + x) = 8 + 7(x + -4)

-10 + 2x + (-2 * 3 + x * 3) = 8 + 7(x + -4)

-10 + 2x + (-6 + 3x) = 8 + 7(x + -4)

Reorder the terms:

-10 + -6 + 2x + 3x = 8 + 7(x + -4)

Combine like terms: -10 + -6 = -16

-16 + 2x + 3x = 8 + 7(x + -4)

Combine like terms: 2x + 3x = 5x

-16 + 5x = 8 + 7(x + -4)

Reorder the terms:

-16 + 5x = 8 + 7(-4 + x)

-16 + 5x = 8 + (-4 * 7 + x * 7)

-16 + 5x = 8 + (-28 + 7x)

Combine like terms: 8 + -28 = -20

-16 + 5x = -20 + 7x

Solving

-16 + 5x = -20 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.

-16 + 5x + -7x = -20 + 7x + -7x

Combine like terms: 5x + -7x = -2x

-16 + -2x = -20 + 7x + -7x

Combine like terms: 7x + -7x = 0

-16 + -2x = -20 + 0

-16 + -2x = -20

Add '16' to each side of the equation.

-16 + 16 + -2x = -20 + 16

Combine like terms: -16 + 16 = 0

0 + -2x = -20 + 16

-2x = -20 + 16

Combine like terms: -20 + 16 = -4

-2x = -4

Divide each side by '-2'.

x = 2

Simplifying

x = 2

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Answered by saksheesharmarkl
4

Answer:

2

Step-by-step explanation:

2 (x - 5) + 3 (x - 2) = 8 + 7 (x - 4)

2x - 10 + 3x - 6 = 8 + 7x - 28

5x - 16 = 7x - 20

7x - 5x = -16 + 20

2x = 4

x = 2

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