5(2x-9)-5=5(x-4)+10

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Solution for 5(2x-9)-5=5(x-4)+10 equation:


Simplifying
5(2x + -9) + -5 = 5(x + -4) + 10

Reorder the terms:
5(-9 + 2x) + -5 = 5(x + -4) + 10
(-9 * 5 + 2x * 5) + -5 = 5(x + -4) + 10
(-45 + 10x) + -5 = 5(x + -4) + 10

Reorder the terms:
-45 + -5 + 10x = 5(x + -4) + 10

Combine like terms: -45 + -5 = -50
-50 + 10x = 5(x + -4) + 10

Reorder the terms:
-50 + 10x = 5(-4 + x) + 10
-50 + 10x = (-4 * 5 + x * 5) + 10
-50 + 10x = (-20 + 5x) + 10

Reorder the terms:
-50 + 10x = -20 + 10 + 5x

Combine like terms: -20 + 10 = -10
-50 + 10x = -10 + 5x

Solving
-50 + 10x = -10 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-50 + 10x + -5x = -10 + 5x + -5x

Combine like terms: 10x + -5x = 5x
-50 + 5x = -10 + 5x + -5x

Combine like terms: 5x + -5x = 0
-50 + 5x = -10 + 0
-50 + 5x = -10

Add '50' to each side of the equation.
-50 + 50 + 5x = -10 + 50

Combine like terms: -50 + 50 = 0
0 + 5x = -10 + 50
5x = -10 + 50

Combine like terms: -10 + 50 = 40
5x = 40

Divide each side by '5'.
x = 8

Simplifying
x = 8

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