2(2x-5)+3(4x-1)=19

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Solution for 2(2x-5)+3(4x-1)=19 equation:


Simplifying
2(2x + -5) + 3(4x + -1) = 19

Reorder the terms:
2(-5 + 2x) + 3(4x + -1) = 19
(-5 * 2 + 2x * 2) + 3(4x + -1) = 19
(-10 + 4x) + 3(4x + -1) = 19

Reorder the terms:
-10 + 4x + 3(-1 + 4x) = 19
-10 + 4x + (-1 * 3 + 4x * 3) = 19
-10 + 4x + (-3 + 12x) = 19

Reorder the terms:
-10 + -3 + 4x + 12x = 19

Combine like terms: -10 + -3 = -13
-13 + 4x + 12x = 19

Combine like terms: 4x + 12x = 16x
-13 + 16x = 19

Solving
-13 + 16x = 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 + 16x = 19 + 13

Combine like terms: -13 + 13 = 0
0 + 16x = 19 + 13
16x = 19 + 13

Combine like terms: 19 + 13 = 32
16x = 32

Divide each side by '16'.
x = 2

Simplifying
x = 2

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