5x+7(3x+2)=6(4x+1)

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Solution for 5x+7(3x+2)=6(4x+1) equation:


Simplifying
5x + 7(3x + 2) = 6(4x + 1)

Reorder the terms:
5x + 7(2 + 3x) = 6(4x + 1)
5x + (2 * 7 + 3x * 7) = 6(4x + 1)
5x + (14 + 21x) = 6(4x + 1)

Reorder the terms:
14 + 5x + 21x = 6(4x + 1)

Combine like terms: 5x + 21x = 26x
14 + 26x = 6(4x + 1)

Reorder the terms:
14 + 26x = 6(1 + 4x)
14 + 26x = (1 * 6 + 4x * 6)
14 + 26x = (6 + 24x)

Solving
14 + 26x = 6 + 24x

Solving for variable 'x'.

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

Add '-24x' to each side of the equation.
14 + 26x + -24x = 6 + 24x + -24x

Combine like terms: 26x + -24x = 2x
14 + 2x = 6 + 24x + -24x

Combine like terms: 24x + -24x = 0
14 + 2x = 6 + 0
14 + 2x = 6

Add '-14' to each side of the equation.
14 + -14 + 2x = 6 + -14

Combine like terms: 14 + -14 = 0
0 + 2x = 6 + -14
2x = 6 + -14

Combine like terms: 6 + -14 = -8
2x = -8

Divide each side by '2'.
x = -4

Simplifying
x = -4

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