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

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


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

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

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

Reorder the terms:
3 + 2x = -10 + 4 + 5x

Combine like terms: -10 + 4 = -6
3 + 2x = -6 + 5x

Solving
3 + 2x = -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.
3 + 2x + -5x = -6 + 5x + -5x

Combine like terms: 2x + -5x = -3x
3 + -3x = -6 + 5x + -5x

Combine like terms: 5x + -5x = 0
3 + -3x = -6 + 0
3 + -3x = -6

Add '-3' to each side of the equation.
3 + -3 + -3x = -6 + -3

Combine like terms: 3 + -3 = 0
0 + -3x = -6 + -3
-3x = -6 + -3

Combine like terms: -6 + -3 = -9
-3x = -9

Divide each side by '-3'.
x = 3

Simplifying
x = 3

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