5(x-2)-3=5x+10x-17

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Solution for 5(x-2)-3=5x+10x-17 equation:


Simplifying
5(x + -2) + -3 = 5x + 10x + -17

Reorder the terms:
5(-2 + x) + -3 = 5x + 10x + -17
(-2 * 5 + x * 5) + -3 = 5x + 10x + -17
(-10 + 5x) + -3 = 5x + 10x + -17

Reorder the terms:
-10 + -3 + 5x = 5x + 10x + -17

Combine like terms: -10 + -3 = -13
-13 + 5x = 5x + 10x + -17

Reorder the terms:
-13 + 5x = -17 + 5x + 10x

Combine like terms: 5x + 10x = 15x
-13 + 5x = -17 + 15x

Solving
-13 + 5x = -17 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
-13 + 5x + -15x = -17 + 15x + -15x

Combine like terms: 5x + -15x = -10x
-13 + -10x = -17 + 15x + -15x

Combine like terms: 15x + -15x = 0
-13 + -10x = -17 + 0
-13 + -10x = -17

Add '13' to each side of the equation.
-13 + 13 + -10x = -17 + 13

Combine like terms: -13 + 13 = 0
0 + -10x = -17 + 13
-10x = -17 + 13

Combine like terms: -17 + 13 = -4
-10x = -4

Divide each side by '-10'.
x = 0.4

Simplifying
x = 0.4

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