2(3x+5)=3(2x+7)+4(2x-1)

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Solution for 2(3x+5)=3(2x+7)+4(2x-1) equation:


Simplifying
2(3x + 5) = 3(2x + 7) + 4(2x + -1)

Reorder the terms:
2(5 + 3x) = 3(2x + 7) + 4(2x + -1)
(5 * 2 + 3x * 2) = 3(2x + 7) + 4(2x + -1)
(10 + 6x) = 3(2x + 7) + 4(2x + -1)

Reorder the terms:
10 + 6x = 3(7 + 2x) + 4(2x + -1)
10 + 6x = (7 * 3 + 2x * 3) + 4(2x + -1)
10 + 6x = (21 + 6x) + 4(2x + -1)

Reorder the terms:
10 + 6x = 21 + 6x + 4(-1 + 2x)
10 + 6x = 21 + 6x + (-1 * 4 + 2x * 4)
10 + 6x = 21 + 6x + (-4 + 8x)

Reorder the terms:
10 + 6x = 21 + -4 + 6x + 8x

Combine like terms: 21 + -4 = 17
10 + 6x = 17 + 6x + 8x

Combine like terms: 6x + 8x = 14x
10 + 6x = 17 + 14x

Solving
10 + 6x = 17 + 14x

Solving for variable 'x'.

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

Add '-14x' to each side of the equation.
10 + 6x + -14x = 17 + 14x + -14x

Combine like terms: 6x + -14x = -8x
10 + -8x = 17 + 14x + -14x

Combine like terms: 14x + -14x = 0
10 + -8x = 17 + 0
10 + -8x = 17

Add '-10' to each side of the equation.
10 + -10 + -8x = 17 + -10

Combine like terms: 10 + -10 = 0
0 + -8x = 17 + -10
-8x = 17 + -10

Combine like terms: 17 + -10 = 7
-8x = 7

Divide each side by '-8'.
x = -0.875

Simplifying
x = -0.875

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