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

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


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

Reorder the terms:
2(5 + 6x) = 4(4x + -3)
(5 * 2 + 6x * 2) = 4(4x + -3)
(10 + 12x) = 4(4x + -3)

Reorder the terms:
10 + 12x = 4(-3 + 4x)
10 + 12x = (-3 * 4 + 4x * 4)
10 + 12x = (-12 + 16x)

Solving
10 + 12x = -12 + 16x

Solving for variable 'x'.

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

Add '-16x' to each side of the equation.
10 + 12x + -16x = -12 + 16x + -16x

Combine like terms: 12x + -16x = -4x
10 + -4x = -12 + 16x + -16x

Combine like terms: 16x + -16x = 0
10 + -4x = -12 + 0
10 + -4x = -12

Add '-10' to each side of the equation.
10 + -10 + -4x = -12 + -10

Combine like terms: 10 + -10 = 0
0 + -4x = -12 + -10
-4x = -12 + -10

Combine like terms: -12 + -10 = -22
-4x = -22

Divide each side by '-4'.
x = 5.5

Simplifying
x = 5.5

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