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

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Solution for 2(3x+2)+3(4x+5)=2(4x+7) equation:


Simplifying
2(3x + 2) + 3(4x + 5) = 2(4x + 7)

Reorder the terms:
2(2 + 3x) + 3(4x + 5) = 2(4x + 7)
(2 * 2 + 3x * 2) + 3(4x + 5) = 2(4x + 7)
(4 + 6x) + 3(4x + 5) = 2(4x + 7)

Reorder the terms:
4 + 6x + 3(5 + 4x) = 2(4x + 7)
4 + 6x + (5 * 3 + 4x * 3) = 2(4x + 7)
4 + 6x + (15 + 12x) = 2(4x + 7)

Reorder the terms:
4 + 15 + 6x + 12x = 2(4x + 7)

Combine like terms: 4 + 15 = 19
19 + 6x + 12x = 2(4x + 7)

Combine like terms: 6x + 12x = 18x
19 + 18x = 2(4x + 7)

Reorder the terms:
19 + 18x = 2(7 + 4x)
19 + 18x = (7 * 2 + 4x * 2)
19 + 18x = (14 + 8x)

Solving
19 + 18x = 14 + 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.
19 + 18x + -8x = 14 + 8x + -8x

Combine like terms: 18x + -8x = 10x
19 + 10x = 14 + 8x + -8x

Combine like terms: 8x + -8x = 0
19 + 10x = 14 + 0
19 + 10x = 14

Add '-19' to each side of the equation.
19 + -19 + 10x = 14 + -19

Combine like terms: 19 + -19 = 0
0 + 10x = 14 + -19
10x = 14 + -19

Combine like terms: 14 + -19 = -5
10x = -5

Divide each side by '10'.
x = -0.5

Simplifying
x = -0.5

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