4(3x-10)=2(2x+3)

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Solution for 4(3x-10)=2(2x+3) equation:


Simplifying
4(3x + -10) = 2(2x + 3)

Reorder the terms:
4(-10 + 3x) = 2(2x + 3)
(-10 * 4 + 3x * 4) = 2(2x + 3)
(-40 + 12x) = 2(2x + 3)

Reorder the terms:
-40 + 12x = 2(3 + 2x)
-40 + 12x = (3 * 2 + 2x * 2)
-40 + 12x = (6 + 4x)

Solving
-40 + 12x = 6 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-40 + 12x + -4x = 6 + 4x + -4x

Combine like terms: 12x + -4x = 8x
-40 + 8x = 6 + 4x + -4x

Combine like terms: 4x + -4x = 0
-40 + 8x = 6 + 0
-40 + 8x = 6

Add '40' to each side of the equation.
-40 + 40 + 8x = 6 + 40

Combine like terms: -40 + 40 = 0
0 + 8x = 6 + 40
8x = 6 + 40

Combine like terms: 6 + 40 = 46
8x = 46

Divide each side by '8'.
x = 5.75

Simplifying
x = 5.75

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