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

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


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

Reorder the terms:
3(-4 + x) + -2(5x + -3) = 8
(-4 * 3 + x * 3) + -2(5x + -3) = 8
(-12 + 3x) + -2(5x + -3) = 8

Reorder the terms:
-12 + 3x + -2(-3 + 5x) = 8
-12 + 3x + (-3 * -2 + 5x * -2) = 8
-12 + 3x + (6 + -10x) = 8

Reorder the terms:
-12 + 6 + 3x + -10x = 8

Combine like terms: -12 + 6 = -6
-6 + 3x + -10x = 8

Combine like terms: 3x + -10x = -7x
-6 + -7x = 8

Solving
-6 + -7x = 8

Solving for variable 'x'.

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

Add '6' to each side of the equation.
-6 + 6 + -7x = 8 + 6

Combine like terms: -6 + 6 = 0
0 + -7x = 8 + 6
-7x = 8 + 6

Combine like terms: 8 + 6 = 14
-7x = 14

Divide each side by '-7'.
x = -2

Simplifying
x = -2

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