5(2x-2)-4=5(x-3)+21

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Solution for 5(2x-2)-4=5(x-3)+21 equation:


Simplifying
5(2x + -2) + -4 = 5(x + -3) + 21

Reorder the terms:
5(-2 + 2x) + -4 = 5(x + -3) + 21
(-2 * 5 + 2x * 5) + -4 = 5(x + -3) + 21
(-10 + 10x) + -4 = 5(x + -3) + 21

Reorder the terms:
-10 + -4 + 10x = 5(x + -3) + 21

Combine like terms: -10 + -4 = -14
-14 + 10x = 5(x + -3) + 21

Reorder the terms:
-14 + 10x = 5(-3 + x) + 21
-14 + 10x = (-3 * 5 + x * 5) + 21
-14 + 10x = (-15 + 5x) + 21

Reorder the terms:
-14 + 10x = -15 + 21 + 5x

Combine like terms: -15 + 21 = 6
-14 + 10x = 6 + 5x

Solving
-14 + 10x = 6 + 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.
-14 + 10x + -5x = 6 + 5x + -5x

Combine like terms: 10x + -5x = 5x
-14 + 5x = 6 + 5x + -5x

Combine like terms: 5x + -5x = 0
-14 + 5x = 6 + 0
-14 + 5x = 6

Add '14' to each side of the equation.
-14 + 14 + 5x = 6 + 14

Combine like terms: -14 + 14 = 0
0 + 5x = 6 + 14
5x = 6 + 14

Combine like terms: 6 + 14 = 20
5x = 20

Divide each side by '5'.
x = 4

Simplifying
x = 4

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