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

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


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

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

Reorder the terms:
5 + 10x = 4(-7 + 3x)
5 + 10x = (-7 * 4 + 3x * 4)
5 + 10x = (-28 + 12x)

Solving
5 + 10x = -28 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
5 + 10x + -12x = -28 + 12x + -12x

Combine like terms: 10x + -12x = -2x
5 + -2x = -28 + 12x + -12x

Combine like terms: 12x + -12x = 0
5 + -2x = -28 + 0
5 + -2x = -28

Add '-5' to each side of the equation.
5 + -5 + -2x = -28 + -5

Combine like terms: 5 + -5 = 0
0 + -2x = -28 + -5
-2x = -28 + -5

Combine like terms: -28 + -5 = -33
-2x = -33

Divide each side by '-2'.
x = 16.5

Simplifying
x = 16.5

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