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

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


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

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

Reorder the terms:
-15 + 3x = 2(-8 + x) + 4
-15 + 3x = (-8 * 2 + x * 2) + 4
-15 + 3x = (-16 + 2x) + 4

Reorder the terms:
-15 + 3x = -16 + 4 + 2x

Combine like terms: -16 + 4 = -12
-15 + 3x = -12 + 2x

Solving
-15 + 3x = -12 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-15 + 3x + -2x = -12 + 2x + -2x

Combine like terms: 3x + -2x = 1x
-15 + 1x = -12 + 2x + -2x

Combine like terms: 2x + -2x = 0
-15 + 1x = -12 + 0
-15 + 1x = -12

Add '15' to each side of the equation.
-15 + 15 + 1x = -12 + 15

Combine like terms: -15 + 15 = 0
0 + 1x = -12 + 15
1x = -12 + 15

Combine like terms: -12 + 15 = 3
1x = 3

Divide each side by '1'.
x = 3

Simplifying
x = 3

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