4+(-2x+1)+3(x-2)=13

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Solution for 4+(-2x+1)+3(x-2)=13 equation:


Simplifying
4 + (-2x + 1) + 3(x + -2) = 13

Reorder the terms:
4 + (1 + -2x) + 3(x + -2) = 13

Remove parenthesis around (1 + -2x)
4 + 1 + -2x + 3(x + -2) = 13

Reorder the terms:
4 + 1 + -2x + 3(-2 + x) = 13
4 + 1 + -2x + (-2 * 3 + x * 3) = 13
4 + 1 + -2x + (-6 + 3x) = 13

Reorder the terms:
4 + 1 + -6 + -2x + 3x = 13

Combine like terms: 4 + 1 = 5
5 + -6 + -2x + 3x = 13

Combine like terms: 5 + -6 = -1
-1 + -2x + 3x = 13

Combine like terms: -2x + 3x = 1x
-1 + 1x = 13

Solving
-1 + 1x = 13

Solving for variable 'x'.

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

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

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

Combine like terms: 13 + 1 = 14
1x = 14

Divide each side by '1'.
x = 14

Simplifying
x = 14

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