11=4(x-2)-(x-7)

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Solution for 11=4(x-2)-(x-7) equation: 


Simplifying
11 = 4(x + -2) + -1(x + -7)

Reorder the terms:
11 = 4(-2 + x) + -1(x + -7)
11 = (-2 * 4 + x * 4) + -1(x + -7)
11 = (-8 + 4x) + -1(x + -7)

Reorder the terms:
11 = -8 + 4x + -1(-7 + x)
11 = -8 + 4x + (-7 * -1 + x * -1)
11 = -8 + 4x + (7 + -1x)

Reorder the terms:
11 = -8 + 7 + 4x + -1x

Combine like terms: -8 + 7 = -1
11 = -1 + 4x + -1x

Combine like terms: 4x + -1x = 3x
11 = -1 + 3x

Solving
11 = -1 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
11 + -3x = -1 + 3x + -3x

Combine like terms: 3x + -3x = 0
11 + -3x = -1 + 0
11 + -3x = -1

Add '-11' to each side of the equation.
11 + -11 + -3x = -1 + -11

Combine like terms: 11 + -11 = 0
0 + -3x = -1 + -11
-3x = -1 + -11

Combine like terms: -1 + -11 = -12
-3x = -12

Divide each side by '-3'.
x = 4

Simplifying
x = 4

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