-(4x+2)-3(5x-2)=10

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Solution for -(4x+2)-3(5x-2)=10 equation:


Simplifying
-1(4x + 2) + -3(5x + -2) = 10

Reorder the terms:
-1(2 + 4x) + -3(5x + -2) = 10
(2 * -1 + 4x * -1) + -3(5x + -2) = 10
(-2 + -4x) + -3(5x + -2) = 10

Reorder the terms:
-2 + -4x + -3(-2 + 5x) = 10
-2 + -4x + (-2 * -3 + 5x * -3) = 10
-2 + -4x + (6 + -15x) = 10

Reorder the terms:
-2 + 6 + -4x + -15x = 10

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

Combine like terms: -4x + -15x = -19x
4 + -19x = 10

Solving
4 + -19x = 10

Solving for variable 'x'.

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

Add '-4' to each side of the equation.
4 + -4 + -19x = 10 + -4

Combine like terms: 4 + -4 = 0
0 + -19x = 10 + -4
-19x = 10 + -4

Combine like terms: 10 + -4 = 6
-19x = 6

Divide each side by '-19'.
x = -0.3157894737

Simplifying
x = -0.3157894737

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