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

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Solution for 5(x-3)+10=2(3x-4) equation:


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

Reorder the terms:
5(-3 + x) + 10 = 2(3x + -4)
(-3 * 5 + x * 5) + 10 = 2(3x + -4)
(-15 + 5x) + 10 = 2(3x + -4)

Reorder the terms:
-15 + 10 + 5x = 2(3x + -4)

Combine like terms: -15 + 10 = -5
-5 + 5x = 2(3x + -4)

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

Solving
-5 + 5x = -8 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-5 + 5x + -6x = -8 + 6x + -6x

Combine like terms: 5x + -6x = -1x
-5 + -1x = -8 + 6x + -6x

Combine like terms: 6x + -6x = 0
-5 + -1x = -8 + 0
-5 + -1x = -8

Add '5' to each side of the equation.
-5 + 5 + -1x = -8 + 5

Combine like terms: -5 + 5 = 0
0 + -1x = -8 + 5
-1x = -8 + 5

Combine like terms: -8 + 5 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3

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