3(x-4)+10=2(x-3)

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Solution for 3(x-4)+10=2(x-3) equation:


Simplifying
3(x + -4) + 10 = 2(x + -3)

Reorder the terms:
3(-4 + x) + 10 = 2(x + -3)
(-4 * 3 + x * 3) + 10 = 2(x + -3)
(-12 + 3x) + 10 = 2(x + -3)

Reorder the terms:
-12 + 10 + 3x = 2(x + -3)

Combine like terms: -12 + 10 = -2
-2 + 3x = 2(x + -3)

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

Solving
-2 + 3x = -6 + 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.
-2 + 3x + -2x = -6 + 2x + -2x

Combine like terms: 3x + -2x = 1x
-2 + 1x = -6 + 2x + -2x

Combine like terms: 2x + -2x = 0
-2 + 1x = -6 + 0
-2 + 1x = -6

Add '2' to each side of the equation.
-2 + 2 + 1x = -6 + 2

Combine like terms: -2 + 2 = 0
0 + 1x = -6 + 2
1x = -6 + 2

Combine like terms: -6 + 2 = -4
1x = -4

Divide each side by '1'.
x = -4

Simplifying
x = -4

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