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

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


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

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

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

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

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

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

Reorder the terms:
-7 + 5x = 4 + x

Solving
-7 + 5x = 4 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-7 + 5x + -1x = 4 + x + -1x

Combine like terms: 5x + -1x = 4x
-7 + 4x = 4 + x + -1x

Combine like terms: x + -1x = 0
-7 + 4x = 4 + 0
-7 + 4x = 4

Add '7' to each side of the equation.
-7 + 7 + 4x = 4 + 7

Combine like terms: -7 + 7 = 0
0 + 4x = 4 + 7
4x = 4 + 7

Combine like terms: 4 + 7 = 11
4x = 11

Divide each side by '4'.
x = 2.75

Simplifying
x = 2.75

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