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

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


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

Reorder the terms:
4(5 + x) + -3 = 2x + -3
(5 * 4 + x * 4) + -3 = 2x + -3
(20 + 4x) + -3 = 2x + -3

Reorder the terms:
20 + -3 + 4x = 2x + -3

Combine like terms: 20 + -3 = 17
17 + 4x = 2x + -3

Reorder the terms:
17 + 4x = -3 + 2x

Solving
17 + 4x = -3 + 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.
17 + 4x + -2x = -3 + 2x + -2x

Combine like terms: 4x + -2x = 2x
17 + 2x = -3 + 2x + -2x

Combine like terms: 2x + -2x = 0
17 + 2x = -3 + 0
17 + 2x = -3

Add '-17' to each side of the equation.
17 + -17 + 2x = -3 + -17

Combine like terms: 17 + -17 = 0
0 + 2x = -3 + -17
2x = -3 + -17

Combine like terms: -3 + -17 = -20
2x = -20

Divide each side by '2'.
x = -10

Simplifying
x = -10

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