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

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


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

Reorder the terms:
2(5 + 11x) = -3(4 + -3x) + 5
(5 * 2 + 11x * 2) = -3(4 + -3x) + 5
(10 + 22x) = -3(4 + -3x) + 5
10 + 22x = (4 * -3 + -3x * -3) + 5
10 + 22x = (-12 + 9x) + 5

Reorder the terms:
10 + 22x = -12 + 5 + 9x

Combine like terms: -12 + 5 = -7
10 + 22x = -7 + 9x

Solving
10 + 22x = -7 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
10 + 22x + -9x = -7 + 9x + -9x

Combine like terms: 22x + -9x = 13x
10 + 13x = -7 + 9x + -9x

Combine like terms: 9x + -9x = 0
10 + 13x = -7 + 0
10 + 13x = -7

Add '-10' to each side of the equation.
10 + -10 + 13x = -7 + -10

Combine like terms: 10 + -10 = 0
0 + 13x = -7 + -10
13x = -7 + -10

Combine like terms: -7 + -10 = -17
13x = -17

Divide each side by '13'.
x = -1.307692308

Simplifying
x = -1.307692308

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