7=4(x-2)-(x-6)

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Solution for 7=4(x-2)-(x-6) equation:


Simplifying
7 = 4(x + -2) + -1(x + -6)

Reorder the terms:
7 = 4(-2 + x) + -1(x + -6)
7 = (-2 * 4 + x * 4) + -1(x + -6)
7 = (-8 + 4x) + -1(x + -6)

Reorder the terms:
7 = -8 + 4x + -1(-6 + x)
7 = -8 + 4x + (-6 * -1 + x * -1)
7 = -8 + 4x + (6 + -1x)

Reorder the terms:
7 = -8 + 6 + 4x + -1x

Combine like terms: -8 + 6 = -2
7 = -2 + 4x + -1x

Combine like terms: 4x + -1x = 3x
7 = -2 + 3x

Solving
7 = -2 + 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.
7 + -3x = -2 + 3x + -3x

Combine like terms: 3x + -3x = 0
7 + -3x = -2 + 0
7 + -3x = -2

Add '-7' to each side of the equation.
7 + -7 + -3x = -2 + -7

Combine like terms: 7 + -7 = 0
0 + -3x = -2 + -7
-3x = -2 + -7

Combine like terms: -2 + -7 = -9
-3x = -9

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

Simplifying
x = 3

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