4(2-x)+3(x-1)=15

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Solution for 4(2-x)+3(x-1)=15 equation: 


Simplifying
4(2 + -1x) + 3(x + -1) = 15
(2 * 4 + -1x * 4) + 3(x + -1) = 15
(8 + -4x) + 3(x + -1) = 15

Reorder the terms:
8 + -4x + 3(-1 + x) = 15
8 + -4x + (-1 * 3 + x * 3) = 15
8 + -4x + (-3 + 3x) = 15

Reorder the terms:
8 + -3 + -4x + 3x = 15

Combine like terms: 8 + -3 = 5
5 + -4x + 3x = 15

Combine like terms: -4x + 3x = -1x
5 + -1x = 15

Solving
5 + -1x = 15

Solving for variable 'x'.

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

Add '-5' to each side of the equation.
5 + -5 + -1x = 15 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 15 + -5
-1x = 15 + -5

Combine like terms: 15 + -5 = 10
-1x = 10

Divide each side by '-1'.
x = -10

Simplifying
x = -10

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