2(x-2)+3(x-1)=4x+11

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Solution for 2(x-2)+3(x-1)=4x+11 equation: 


Simplifying
2(x + -2) + 3(x + -1) = 4x + 11

Reorder the terms:
2(-2 + x) + 3(x + -1) = 4x + 11
(-2 * 2 + x * 2) + 3(x + -1) = 4x + 11
(-4 + 2x) + 3(x + -1) = 4x + 11

Reorder the terms:
-4 + 2x + 3(-1 + x) = 4x + 11
-4 + 2x + (-1 * 3 + x * 3) = 4x + 11
-4 + 2x + (-3 + 3x) = 4x + 11

Reorder the terms:
-4 + -3 + 2x + 3x = 4x + 11

Combine like terms: -4 + -3 = -7
-7 + 2x + 3x = 4x + 11

Combine like terms: 2x + 3x = 5x
-7 + 5x = 4x + 11

Reorder the terms:
-7 + 5x = 11 + 4x

Solving
-7 + 5x = 11 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-7 + 5x + -4x = 11 + 4x + -4x

Combine like terms: 5x + -4x = 1x
-7 + 1x = 11 + 4x + -4x

Combine like terms: 4x + -4x = 0
-7 + 1x = 11 + 0
-7 + 1x = 11

Add '7' to each side of the equation.
-7 + 7 + 1x = 11 + 7

Combine like terms: -7 + 7 = 0
0 + 1x = 11 + 7
1x = 11 + 7

Combine like terms: 11 + 7 = 18
1x = 18

Divide each side by '1'.
x = 18

Simplifying
x = 18

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