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

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


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

Reorder the terms:
2(-3 + x) + -5(3x + 4) = -8x + 4
(-3 * 2 + x * 2) + -5(3x + 4) = -8x + 4
(-6 + 2x) + -5(3x + 4) = -8x + 4

Reorder the terms:
-6 + 2x + -5(4 + 3x) = -8x + 4
-6 + 2x + (4 * -5 + 3x * -5) = -8x + 4
-6 + 2x + (-20 + -15x) = -8x + 4

Reorder the terms:
-6 + -20 + 2x + -15x = -8x + 4

Combine like terms: -6 + -20 = -26
-26 + 2x + -15x = -8x + 4

Combine like terms: 2x + -15x = -13x
-26 + -13x = -8x + 4

Reorder the terms:
-26 + -13x = 4 + -8x

Solving
-26 + -13x = 4 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
-26 + -13x + 8x = 4 + -8x + 8x

Combine like terms: -13x + 8x = -5x
-26 + -5x = 4 + -8x + 8x

Combine like terms: -8x + 8x = 0
-26 + -5x = 4 + 0
-26 + -5x = 4

Add '26' to each side of the equation.
-26 + 26 + -5x = 4 + 26

Combine like terms: -26 + 26 = 0
0 + -5x = 4 + 26
-5x = 4 + 26

Combine like terms: 4 + 26 = 30
-5x = 30

Divide each side by '-5'.
x = -6

Simplifying
x = -6

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