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

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


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

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

Reorder the terms:
20 + 3 + 4x = 5x + 2

Combine like terms: 20 + 3 = 23
23 + 4x = 5x + 2

Reorder the terms:
23 + 4x = 2 + 5x

Solving
23 + 4x = 2 + 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.
23 + 4x + -5x = 2 + 5x + -5x

Combine like terms: 4x + -5x = -1x
23 + -1x = 2 + 5x + -5x

Combine like terms: 5x + -5x = 0
23 + -1x = 2 + 0
23 + -1x = 2

Add '-23' to each side of the equation.
23 + -23 + -1x = 2 + -23

Combine like terms: 23 + -23 = 0
0 + -1x = 2 + -23
-1x = 2 + -23

Combine like terms: 2 + -23 = -21
-1x = -21

Divide each side by '-1'.
x = 21

Simplifying
x = 21

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