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

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


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

Reorder the terms:
7(2 + 4x) = 5(3x + -1)
(2 * 7 + 4x * 7) = 5(3x + -1)
(14 + 28x) = 5(3x + -1)

Reorder the terms:
14 + 28x = 5(-1 + 3x)
14 + 28x = (-1 * 5 + 3x * 5)
14 + 28x = (-5 + 15x)

Solving
14 + 28x = -5 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
14 + 28x + -15x = -5 + 15x + -15x

Combine like terms: 28x + -15x = 13x
14 + 13x = -5 + 15x + -15x

Combine like terms: 15x + -15x = 0
14 + 13x = -5 + 0
14 + 13x = -5

Add '-14' to each side of the equation.
14 + -14 + 13x = -5 + -14

Combine like terms: 14 + -14 = 0
0 + 13x = -5 + -14
13x = -5 + -14

Combine like terms: -5 + -14 = -19
13x = -19

Divide each side by '13'.
x = -1.461538462

Simplifying
x = -1.461538462

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