3(x-21)+2(x-4)=19

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Solution for 3(x-21)+2(x-4)=19 equation: 


Simplifying
3(x + -21) + 2(x + -4) = 19

Reorder the terms:
3(-21 + x) + 2(x + -4) = 19
(-21 * 3 + x * 3) + 2(x + -4) = 19
(-63 + 3x) + 2(x + -4) = 19

Reorder the terms:
-63 + 3x + 2(-4 + x) = 19
-63 + 3x + (-4 * 2 + x * 2) = 19
-63 + 3x + (-8 + 2x) = 19

Reorder the terms:
-63 + -8 + 3x + 2x = 19

Combine like terms: -63 + -8 = -71
-71 + 3x + 2x = 19

Combine like terms: 3x + 2x = 5x
-71 + 5x = 19

Solving
-71 + 5x = 19

Solving for variable 'x'.

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

Add '71' to each side of the equation.
-71 + 71 + 5x = 19 + 71

Combine like terms: -71 + 71 = 0
0 + 5x = 19 + 71
5x = 19 + 71

Combine like terms: 19 + 71 = 90
5x = 90

Divide each side by '5'.
x = 18

Simplifying
x = 18

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