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

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


Simplifying
2 + -1(3x + -10) = 4(x + -2)

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

Combine like terms: 2 + 10 = 12
12 + -3x = 4(x + -2)

Reorder the terms:
12 + -3x = 4(-2 + x)
12 + -3x = (-2 * 4 + x * 4)
12 + -3x = (-8 + 4x)

Solving
12 + -3x = -8 + 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.
12 + -3x + -4x = -8 + 4x + -4x

Combine like terms: -3x + -4x = -7x
12 + -7x = -8 + 4x + -4x

Combine like terms: 4x + -4x = 0
12 + -7x = -8 + 0
12 + -7x = -8

Add '-12' to each side of the equation.
12 + -12 + -7x = -8 + -12

Combine like terms: 12 + -12 = 0
0 + -7x = -8 + -12
-7x = -8 + -12

Combine like terms: -8 + -12 = -20
-7x = -20

Divide each side by '-7'.
x = 2.857142857

Simplifying
x = 2.857142857

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