4(2x+3)=5(x-3)+10

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Solution for 4(2x+3)=5(x-3)+10 equation:


Simplifying
4(2x + 3) = 5(x + -3) + 10

Reorder the terms:
4(3 + 2x) = 5(x + -3) + 10
(3 * 4 + 2x * 4) = 5(x + -3) + 10
(12 + 8x) = 5(x + -3) + 10

Reorder the terms:
12 + 8x = 5(-3 + x) + 10
12 + 8x = (-3 * 5 + x * 5) + 10
12 + 8x = (-15 + 5x) + 10

Reorder the terms:
12 + 8x = -15 + 10 + 5x

Combine like terms: -15 + 10 = -5
12 + 8x = -5 + 5x

Solving
12 + 8x = -5 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
12 + 8x + -5x = -5 + 5x + -5x

Combine like terms: 8x + -5x = 3x
12 + 3x = -5 + 5x + -5x

Combine like terms: 5x + -5x = 0
12 + 3x = -5 + 0
12 + 3x = -5

Add '-12' to each side of the equation.
12 + -12 + 3x = -5 + -12

Combine like terms: 12 + -12 = 0
0 + 3x = -5 + -12
3x = -5 + -12

Combine like terms: -5 + -12 = -17
3x = -17

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

Simplifying
x = -5.666666667

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