4(5-4x)+11=6-3(2x+5)

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Solution for 4(5-4x)+11=6-3(2x+5) equation:


Simplifying
4(5 + -4x) + 11 = 6 + -3(2x + 5)
(5 * 4 + -4x * 4) + 11 = 6 + -3(2x + 5)
(20 + -16x) + 11 = 6 + -3(2x + 5)

Reorder the terms:
20 + 11 + -16x = 6 + -3(2x + 5)

Combine like terms: 20 + 11 = 31
31 + -16x = 6 + -3(2x + 5)

Reorder the terms:
31 + -16x = 6 + -3(5 + 2x)
31 + -16x = 6 + (5 * -3 + 2x * -3)
31 + -16x = 6 + (-15 + -6x)

Combine like terms: 6 + -15 = -9
31 + -16x = -9 + -6x

Solving
31 + -16x = -9 + -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.
31 + -16x + 6x = -9 + -6x + 6x

Combine like terms: -16x + 6x = -10x
31 + -10x = -9 + -6x + 6x

Combine like terms: -6x + 6x = 0
31 + -10x = -9 + 0
31 + -10x = -9

Add '-31' to each side of the equation.
31 + -31 + -10x = -9 + -31

Combine like terms: 31 + -31 = 0
0 + -10x = -9 + -31
-10x = -9 + -31

Combine like terms: -9 + -31 = -40
-10x = -40

Divide each side by '-10'.
x = 4

Simplifying
x = 4

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