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

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


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

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

Reorder the terms:
-12 + 10X + -6X = 2X + 3

Combine like terms: 10X + -6X = 4X
-12 + 4X = 2X + 3

Reorder the terms:
-12 + 4X = 3 + 2X

Solving
-12 + 4X = 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.
-12 + 4X + -2X = 3 + 2X + -2X

Combine like terms: 4X + -2X = 2X
-12 + 2X = 3 + 2X + -2X

Combine like terms: 2X + -2X = 0
-12 + 2X = 3 + 0
-12 + 2X = 3

Add '12' to each side of the equation.
-12 + 12 + 2X = 3 + 12

Combine like terms: -12 + 12 = 0
0 + 2X = 3 + 12
2X = 3 + 12

Combine like terms: 3 + 12 = 15
2X = 15

Divide each side by '2'.
X = 7.5

Simplifying
X = 7.5

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