2(-4x+8)+3(x-5)=-4

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Solution for 2(-4x+8)+3(x-5)=-4 equation:


Simplifying
2(-4x + 8) + 3(x + -5) = -4

Reorder the terms:
2(8 + -4x) + 3(x + -5) = -4
(8 * 2 + -4x * 2) + 3(x + -5) = -4
(16 + -8x) + 3(x + -5) = -4

Reorder the terms:
16 + -8x + 3(-5 + x) = -4
16 + -8x + (-5 * 3 + x * 3) = -4
16 + -8x + (-15 + 3x) = -4

Reorder the terms:
16 + -15 + -8x + 3x = -4

Combine like terms: 16 + -15 = 1
1 + -8x + 3x = -4

Combine like terms: -8x + 3x = -5x
1 + -5x = -4

Solving
1 + -5x = -4

Solving for variable 'x'.

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

Add '-1' to each side of the equation.
1 + -1 + -5x = -4 + -1

Combine like terms: 1 + -1 = 0
0 + -5x = -4 + -1
-5x = -4 + -1

Combine like terms: -4 + -1 = -5
-5x = -5

Divide each side by '-5'.
x = 1

Simplifying
x = 1

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