5(2x-1)-2(x+4)=19

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Solution for 5(2x-1)-2(x+4)=19 equation:


Simplifying
5(2x + -1) + -2(x + 4) = 19

Reorder the terms:
5(-1 + 2x) + -2(x + 4) = 19
(-1 * 5 + 2x * 5) + -2(x + 4) = 19
(-5 + 10x) + -2(x + 4) = 19

Reorder the terms:
-5 + 10x + -2(4 + x) = 19
-5 + 10x + (4 * -2 + x * -2) = 19
-5 + 10x + (-8 + -2x) = 19

Reorder the terms:
-5 + -8 + 10x + -2x = 19

Combine like terms: -5 + -8 = -13
-13 + 10x + -2x = 19

Combine like terms: 10x + -2x = 8x
-13 + 8x = 19

Solving
-13 + 8x = 19

Solving for variable 'x'.

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

Add '13' to each side of the equation.
-13 + 13 + 8x = 19 + 13

Combine like terms: -13 + 13 = 0
0 + 8x = 19 + 13
8x = 19 + 13

Combine like terms: 19 + 13 = 32
8x = 32

Divide each side by '8'.
x = 4

Simplifying
x = 4

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