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

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


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

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

Reorder the terms for easier multiplication:
5 * 6(4 + x) = 2x + -3

Multiply 5 * 6
30(4 + x) = 2x + -3
(4 * 30 + x * 30) = 2x + -3
(120 + 30x) = 2x + -3

Reorder the terms:
120 + 30x = -3 + 2x

Solving
120 + 30x = -3 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
120 + 30x + -2x = -3 + 2x + -2x

Combine like terms: 30x + -2x = 28x
120 + 28x = -3 + 2x + -2x

Combine like terms: 2x + -2x = 0
120 + 28x = -3 + 0
120 + 28x = -3

Add '-120' to each side of the equation.
120 + -120 + 28x = -3 + -120

Combine like terms: 120 + -120 = 0
0 + 28x = -3 + -120
28x = -3 + -120

Combine like terms: -3 + -120 = -123
28x = -123

Divide each side by '28'.
x = -4.392857143

Simplifying
x = -4.392857143

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