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

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


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

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

Reorder the terms:
30 + -10x = 5(4 + -3x)
30 + -10x = (4 * 5 + -3x * 5)
30 + -10x = (20 + -15x)

Solving
30 + -10x = 20 + -15x

Solving for variable 'x'.

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

Add '15x' to each side of the equation.
30 + -10x + 15x = 20 + -15x + 15x

Combine like terms: -10x + 15x = 5x
30 + 5x = 20 + -15x + 15x

Combine like terms: -15x + 15x = 0
30 + 5x = 20 + 0
30 + 5x = 20

Add '-30' to each side of the equation.
30 + -30 + 5x = 20 + -30

Combine like terms: 30 + -30 = 0
0 + 5x = 20 + -30
5x = 20 + -30

Combine like terms: 20 + -30 = -10
5x = -10

Divide each side by '5'.
x = -2

Simplifying
x = -2

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