5(x+2)=4(2x-1)-3

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Solution for 5(x+2)=4(2x-1)-3 equation: 


Simplifying
5(x + 2) = 4(2x + -1) + -3

Reorder the terms:
5(2 + x) = 4(2x + -1) + -3
(2 * 5 + x * 5) = 4(2x + -1) + -3
(10 + 5x) = 4(2x + -1) + -3

Reorder the terms:
10 + 5x = 4(-1 + 2x) + -3
10 + 5x = (-1 * 4 + 2x * 4) + -3
10 + 5x = (-4 + 8x) + -3

Reorder the terms:
10 + 5x = -4 + -3 + 8x

Combine like terms: -4 + -3 = -7
10 + 5x = -7 + 8x

Solving
10 + 5x = -7 + 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.
10 + 5x + -8x = -7 + 8x + -8x

Combine like terms: 5x + -8x = -3x
10 + -3x = -7 + 8x + -8x

Combine like terms: 8x + -8x = 0
10 + -3x = -7 + 0
10 + -3x = -7

Add '-10' to each side of the equation.
10 + -10 + -3x = -7 + -10

Combine like terms: 10 + -10 = 0
0 + -3x = -7 + -10
-3x = -7 + -10

Combine like terms: -7 + -10 = -17
-3x = -17

Divide each side by '-3'.
x = 5.666666667

Simplifying
x = 5.666666667

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