3(x-10)+6=5x-4

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Solution for 3(x-10)+6=5x-4 equation:


Simplifying
3(x + -10) + 6 = 5x + -4

Reorder the terms:
3(-10 + x) + 6 = 5x + -4
(-10 * 3 + x * 3) + 6 = 5x + -4
(-30 + 3x) + 6 = 5x + -4

Reorder the terms:
-30 + 6 + 3x = 5x + -4

Combine like terms: -30 + 6 = -24
-24 + 3x = 5x + -4

Reorder the terms:
-24 + 3x = -4 + 5x

Solving
-24 + 3x = -4 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-24 + 3x + -5x = -4 + 5x + -5x

Combine like terms: 3x + -5x = -2x
-24 + -2x = -4 + 5x + -5x

Combine like terms: 5x + -5x = 0
-24 + -2x = -4 + 0
-24 + -2x = -4

Add '24' to each side of the equation.
-24 + 24 + -2x = -4 + 24

Combine like terms: -24 + 24 = 0
0 + -2x = -4 + 24
-2x = -4 + 24

Combine like terms: -4 + 24 = 20
-2x = 20

Divide each side by '-2'.
x = -10

Simplifying
x = -10

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