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

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


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

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

Combine like terms: 8x + -3x = 5x
10 + 5x = 3(x + -2) + 8

Reorder the terms:
10 + 5x = 3(-2 + x) + 8
10 + 5x = (-2 * 3 + x * 3) + 8
10 + 5x = (-6 + 3x) + 8

Reorder the terms:
10 + 5x = -6 + 8 + 3x

Combine like terms: -6 + 8 = 2
10 + 5x = 2 + 3x

Solving
10 + 5x = 2 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
10 + 5x + -3x = 2 + 3x + -3x

Combine like terms: 5x + -3x = 2x
10 + 2x = 2 + 3x + -3x

Combine like terms: 3x + -3x = 0
10 + 2x = 2 + 0
10 + 2x = 2

Add '-10' to each side of the equation.
10 + -10 + 2x = 2 + -10

Combine like terms: 10 + -10 = 0
0 + 2x = 2 + -10
2x = 2 + -10

Combine like terms: 2 + -10 = -8
2x = -8

Divide each side by '2'.
x = -4

Simplifying
x = -4

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