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

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


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

Reorder the terms:
2x + 4 + -3(-2 + -5x) = 3(x + -2)
2x + 4 + (-2 * -3 + -5x * -3) = 3(x + -2)
2x + 4 + (6 + 15x) = 3(x + -2)

Reorder the terms:
4 + 6 + 2x + 15x = 3(x + -2)

Combine like terms: 4 + 6 = 10
10 + 2x + 15x = 3(x + -2)

Combine like terms: 2x + 15x = 17x
10 + 17x = 3(x + -2)

Reorder the terms:
10 + 17x = 3(-2 + x)
10 + 17x = (-2 * 3 + x * 3)
10 + 17x = (-6 + 3x)

Solving
10 + 17x = -6 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
10 + 17x + -3x = -6 + 3x + -3x

Combine like terms: 17x + -3x = 14x
10 + 14x = -6 + 3x + -3x

Combine like terms: 3x + -3x = 0
10 + 14x = -6 + 0
10 + 14x = -6

Add '-10' to each side of the equation.
10 + -10 + 14x = -6 + -10

Combine like terms: 10 + -10 = 0
0 + 14x = -6 + -10
14x = -6 + -10

Combine like terms: -6 + -10 = -16
14x = -16

Divide each side by '14'.
x = -1.142857143

Simplifying
x = -1.142857143

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