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

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Solution for 4(x+2)=7(x-1)-6 equation:


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

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

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

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

Combine like terms: -7 + -6 = -13
8 + 4x = -13 + 7x

Solving
8 + 4x = -13 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
8 + 4x + -7x = -13 + 7x + -7x

Combine like terms: 4x + -7x = -3x
8 + -3x = -13 + 7x + -7x

Combine like terms: 7x + -7x = 0
8 + -3x = -13 + 0
8 + -3x = -13

Add '-8' to each side of the equation.
8 + -8 + -3x = -13 + -8

Combine like terms: 8 + -8 = 0
0 + -3x = -13 + -8
-3x = -13 + -8

Combine like terms: -13 + -8 = -21
-3x = -21

Divide each side by '-3'.
x = 7

Simplifying
x = 7

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