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

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


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

Reorder the terms:
4(5 + 2x) + 4 = 3(5x + -6)
(5 * 4 + 2x * 4) + 4 = 3(5x + -6)
(20 + 8x) + 4 = 3(5x + -6)

Reorder the terms:
20 + 4 + 8x = 3(5x + -6)

Combine like terms: 20 + 4 = 24
24 + 8x = 3(5x + -6)

Reorder the terms:
24 + 8x = 3(-6 + 5x)
24 + 8x = (-6 * 3 + 5x * 3)
24 + 8x = (-18 + 15x)

Solving
24 + 8x = -18 + 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.
24 + 8x + -15x = -18 + 15x + -15x

Combine like terms: 8x + -15x = -7x
24 + -7x = -18 + 15x + -15x

Combine like terms: 15x + -15x = 0
24 + -7x = -18 + 0
24 + -7x = -18

Add '-24' to each side of the equation.
24 + -24 + -7x = -18 + -24

Combine like terms: 24 + -24 = 0
0 + -7x = -18 + -24
-7x = -18 + -24

Combine like terms: -18 + -24 = -42
-7x = -42

Divide each side by '-7'.
x = 6

Simplifying
x = 6

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