13x-3(-2x-3)=4(x+4)+2

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Solution for 13x-3(-2x-3)=4(x+4)+2 equation:


Simplifying
13x + -3(-2x + -3) = 4(x + 4) + 2

Reorder the terms:
13x + -3(-3 + -2x) = 4(x + 4) + 2
13x + (-3 * -3 + -2x * -3) = 4(x + 4) + 2
13x + (9 + 6x) = 4(x + 4) + 2

Reorder the terms:
9 + 13x + 6x = 4(x + 4) + 2

Combine like terms: 13x + 6x = 19x
9 + 19x = 4(x + 4) + 2

Reorder the terms:
9 + 19x = 4(4 + x) + 2
9 + 19x = (4 * 4 + x * 4) + 2
9 + 19x = (16 + 4x) + 2

Reorder the terms:
9 + 19x = 16 + 2 + 4x

Combine like terms: 16 + 2 = 18
9 + 19x = 18 + 4x

Solving
9 + 19x = 18 + 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.
9 + 19x + -4x = 18 + 4x + -4x

Combine like terms: 19x + -4x = 15x
9 + 15x = 18 + 4x + -4x

Combine like terms: 4x + -4x = 0
9 + 15x = 18 + 0
9 + 15x = 18

Add '-9' to each side of the equation.
9 + -9 + 15x = 18 + -9

Combine like terms: 9 + -9 = 0
0 + 15x = 18 + -9
15x = 18 + -9

Combine like terms: 18 + -9 = 9
15x = 9

Divide each side by '15'.
x = 0.6

Simplifying
x = 0.6

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