10-3(5x-4)=2(-3x+3)-11

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Solution for 10-3(5x-4)=2(-3x+3)-11 equation:


Simplifying
10 + -3(5x + -4) = 2(-3x + 3) + -11

Reorder the terms:
10 + -3(-4 + 5x) = 2(-3x + 3) + -11
10 + (-4 * -3 + 5x * -3) = 2(-3x + 3) + -11
10 + (12 + -15x) = 2(-3x + 3) + -11

Combine like terms: 10 + 12 = 22
22 + -15x = 2(-3x + 3) + -11

Reorder the terms:
22 + -15x = 2(3 + -3x) + -11
22 + -15x = (3 * 2 + -3x * 2) + -11
22 + -15x = (6 + -6x) + -11

Reorder the terms:
22 + -15x = 6 + -11 + -6x

Combine like terms: 6 + -11 = -5
22 + -15x = -5 + -6x

Solving
22 + -15x = -5 + -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.
22 + -15x + 6x = -5 + -6x + 6x

Combine like terms: -15x + 6x = -9x
22 + -9x = -5 + -6x + 6x

Combine like terms: -6x + 6x = 0
22 + -9x = -5 + 0
22 + -9x = -5

Add '-22' to each side of the equation.
22 + -22 + -9x = -5 + -22

Combine like terms: 22 + -22 = 0
0 + -9x = -5 + -22
-9x = -5 + -22

Combine like terms: -5 + -22 = -27
-9x = -27

Divide each side by '-9'.
x = 3

Simplifying
x = 3

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