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

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


Simplifying
(4x + 2) + -1(3x + -5) = 3

Reorder the terms:
(2 + 4x) + -1(3x + -5) = 3

Remove parenthesis around (2 + 4x)
2 + 4x + -1(3x + -5) = 3

Reorder the terms:
2 + 4x + -1(-5 + 3x) = 3
2 + 4x + (-5 * -1 + 3x * -1) = 3
2 + 4x + (5 + -3x) = 3

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

Combine like terms: 2 + 5 = 7
7 + 4x + -3x = 3

Combine like terms: 4x + -3x = 1x
7 + 1x = 3

Solving
7 + 1x = 3

Solving for variable 'x'.

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

Add '-7' to each side of the equation.
7 + -7 + 1x = 3 + -7

Combine like terms: 7 + -7 = 0
0 + 1x = 3 + -7
1x = 3 + -7

Combine like terms: 3 + -7 = -4
1x = -4

Divide each side by '1'.
x = -4

Simplifying
x = -4

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