Question

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2(3x - 7) + 4 (3 x + 2) = 6 (5 x + 9 ) + 3​

Answer 1

Simplifying

2(3x + -7) + 4(3x + 2) = 6(5x + 9) + 3

Reorder the terms:

2(-7 + 3x) + 4(3x + 2) = 6(5x + 9) + 3

(-7 * 2 + 3x * 2) + 4(3x + 2) = 6(5x + 9) + 3

(-14 + 6x) + 4(3x + 2) = 6(5x + 9) + 3

Reorder the terms:

-14 + 6x + 4(2 + 3x) = 6(5x + 9) + 3

-14 + 6x + (2 * 4 + 3x * 4) = 6(5x + 9) + 3

-14 + 6x + (8 + 12x) = 6(5x + 9) + 3

Reorder the terms:

-14 + 8 + 6x + 12x = 6(5x + 9) + 3

Combine like terms: -14 + 8 = -6

-6 + 6x + 12x = 6(5x + 9) + 3

Combine like terms: 6x + 12x = 18x

-6 + 18x = 6(5x + 9) + 3

Reorder the terms:

-6 + 18x = 6(9 + 5x) + 3

-6 + 18x = (9 * 6 + 5x * 6) + 3

-6 + 18x = (54 + 30x) + 3

Reorder the terms:

-6 + 18x = 54 + 3 + 30x

Combine like terms: 54 + 3 = 57

-6 + 18x = 57 + 30x

Solving

-6 + 18x = 57 + 30x

Solving for variable 'x'.

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

Add '-30x' to each side of the equation.

-6 + 18x + -30x = 57 + 30x + -30x

Combine like terms: 18x + -30x = -12x

-6 + -12x = 57 + 30x + -30x

Combine like terms: 30x + -30x = 0

-6 + -12x = 57 + 0

-6 + -12x = 57

Add '6' to each side of the equation.

-6 + 6 + -12x = 57 + 6

Combine like terms: -6 + 6 = 0

0 + -12x = 57 + 6

-12x = 57 + 6

Combine like terms: 57 + 6 = 63

-12x = 63

Divide each side by '-12'.

x = -5.25

Simplifying

x = -5.25

Answer 2

Answer:

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