5(2x+8)-3(3x-5)=4x-2

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Solution for 5(2x+8)-3(3x-5)=4x-2 equation:


Simplifying
5(2x + 8) + -3(3x + -5) = 4x + -2

Reorder the terms:
5(8 + 2x) + -3(3x + -5) = 4x + -2
(8 * 5 + 2x * 5) + -3(3x + -5) = 4x + -2
(40 + 10x) + -3(3x + -5) = 4x + -2

Reorder the terms:
40 + 10x + -3(-5 + 3x) = 4x + -2
40 + 10x + (-5 * -3 + 3x * -3) = 4x + -2
40 + 10x + (15 + -9x) = 4x + -2

Reorder the terms:
40 + 15 + 10x + -9x = 4x + -2

Combine like terms: 40 + 15 = 55
55 + 10x + -9x = 4x + -2

Combine like terms: 10x + -9x = 1x
55 + 1x = 4x + -2

Reorder the terms:
55 + 1x = -2 + 4x

Solving
55 + 1x = -2 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
55 + 1x + -4x = -2 + 4x + -4x

Combine like terms: 1x + -4x = -3x
55 + -3x = -2 + 4x + -4x

Combine like terms: 4x + -4x = 0
55 + -3x = -2 + 0
55 + -3x = -2

Add '-55' to each side of the equation.
55 + -55 + -3x = -2 + -55

Combine like terms: 55 + -55 = 0
0 + -3x = -2 + -55
-3x = -2 + -55

Combine like terms: -2 + -55 = -57
-3x = -57

Divide each side by '-3'.
x = 19

Simplifying
x = 19

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