5(x-6)+19=2(x-4)

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Solution for 5(x-6)+19=2(x-4) equation:


Simplifying
5(x + -6) + 19 = 2(x + -4)

Reorder the terms:
5(-6 + x) + 19 = 2(x + -4)
(-6 * 5 + x * 5) + 19 = 2(x + -4)
(-30 + 5x) + 19 = 2(x + -4)

Reorder the terms:
-30 + 19 + 5x = 2(x + -4)

Combine like terms: -30 + 19 = -11
-11 + 5x = 2(x + -4)

Reorder the terms:
-11 + 5x = 2(-4 + x)
-11 + 5x = (-4 * 2 + x * 2)
-11 + 5x = (-8 + 2x)

Solving
-11 + 5x = -8 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-11 + 5x + -2x = -8 + 2x + -2x

Combine like terms: 5x + -2x = 3x
-11 + 3x = -8 + 2x + -2x

Combine like terms: 2x + -2x = 0
-11 + 3x = -8 + 0
-11 + 3x = -8

Add '11' to each side of the equation.
-11 + 11 + 3x = -8 + 11

Combine like terms: -11 + 11 = 0
0 + 3x = -8 + 11
3x = -8 + 11

Combine like terms: -8 + 11 = 3
3x = 3

Divide each side by '3'.
x = 1

Simplifying
x = 1

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