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

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Solution for 3(x-1)-5(x+2)=4 equation:


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

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

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

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

Combine like terms: -3 + -10 = -13
-13 + 3x + -5x = 4

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

Solving
-13 + -2x = 4

Solving for variable 'x'.

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

Add '13' to each side of the equation.
-13 + 13 + -2x = 4 + 13

Combine like terms: -13 + 13 = 0
0 + -2x = 4 + 13
-2x = 4 + 13

Combine like terms: 4 + 13 = 17
-2x = 17

Divide each side by '-2'.
x = -8.5

Simplifying
x = -8.5

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