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

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


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

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

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

Combine like terms: 15 + 11 = 26
26 + -5x = 3 + -4(2x + 3)

Reorder the terms:
26 + -5x = 3 + -4(3 + 2x)
26 + -5x = 3 + (3 * -4 + 2x * -4)
26 + -5x = 3 + (-12 + -8x)

Combine like terms: 3 + -12 = -9
26 + -5x = -9 + -8x

Solving
26 + -5x = -9 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
26 + -5x + 8x = -9 + -8x + 8x

Combine like terms: -5x + 8x = 3x
26 + 3x = -9 + -8x + 8x

Combine like terms: -8x + 8x = 0
26 + 3x = -9 + 0
26 + 3x = -9

Add '-26' to each side of the equation.
26 + -26 + 3x = -9 + -26

Combine like terms: 26 + -26 = 0
0 + 3x = -9 + -26
3x = -9 + -26

Combine like terms: -9 + -26 = -35
3x = -35

Divide each side by '3'.
x = -11.66666667

Simplifying
x = -11.66666667

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