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

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


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

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

Reorder the terms:
3 + 4x = 3(5 + x) + -2
3 + 4x = (5 * 3 + x * 3) + -2
3 + 4x = (15 + 3x) + -2

Reorder the terms:
3 + 4x = 15 + -2 + 3x

Combine like terms: 15 + -2 = 13
3 + 4x = 13 + 3x

Solving
3 + 4x = 13 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
3 + 4x + -3x = 13 + 3x + -3x

Combine like terms: 4x + -3x = 1x
3 + 1x = 13 + 3x + -3x

Combine like terms: 3x + -3x = 0
3 + 1x = 13 + 0
3 + 1x = 13

Add '-3' to each side of the equation.
3 + -3 + 1x = 13 + -3

Combine like terms: 3 + -3 = 0
0 + 1x = 13 + -3
1x = 13 + -3

Combine like terms: 13 + -3 = 10
1x = 10

Divide each side by '1'.
x = 10

Simplifying
x = 10

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