5(3x+2)-3(x-4)=10x-3(x+1)

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Solution for 5(3x+2)-3(x-4)=10x-3(x+1) equation:


Simplifying
5(3x + 2) + -3(x + -4) = 10x + -3(x + 1)

Reorder the terms:
5(2 + 3x) + -3(x + -4) = 10x + -3(x + 1)
(2 * 5 + 3x * 5) + -3(x + -4) = 10x + -3(x + 1)
(10 + 15x) + -3(x + -4) = 10x + -3(x + 1)

Reorder the terms:
10 + 15x + -3(-4 + x) = 10x + -3(x + 1)
10 + 15x + (-4 * -3 + x * -3) = 10x + -3(x + 1)
10 + 15x + (12 + -3x) = 10x + -3(x + 1)

Reorder the terms:
10 + 12 + 15x + -3x = 10x + -3(x + 1)

Combine like terms: 10 + 12 = 22
22 + 15x + -3x = 10x + -3(x + 1)

Combine like terms: 15x + -3x = 12x
22 + 12x = 10x + -3(x + 1)

Reorder the terms:
22 + 12x = 10x + -3(1 + x)
22 + 12x = 10x + (1 * -3 + x * -3)
22 + 12x = 10x + (-3 + -3x)

Reorder the terms:
22 + 12x = -3 + 10x + -3x

Combine like terms: 10x + -3x = 7x
22 + 12x = -3 + 7x

Solving
22 + 12x = -3 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
22 + 12x + -7x = -3 + 7x + -7x

Combine like terms: 12x + -7x = 5x
22 + 5x = -3 + 7x + -7x

Combine like terms: 7x + -7x = 0
22 + 5x = -3 + 0
22 + 5x = -3

Add '-22' to each side of the equation.
22 + -22 + 5x = -3 + -22

Combine like terms: 22 + -22 = 0
0 + 5x = -3 + -22
5x = -3 + -22

Combine like terms: -3 + -22 = -25
5x = -25

Divide each side by '5'.
x = -5

Simplifying
x = -5

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