7(x-4)-6=-6(-4x+5)-7x

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Solution for 7(x-4)-6=-6(-4x+5)-7x equation:


Simplifying
7(x + -4) + -6 = -6(-4x + 5) + -7x

Reorder the terms:
7(-4 + x) + -6 = -6(-4x + 5) + -7x
(-4 * 7 + x * 7) + -6 = -6(-4x + 5) + -7x
(-28 + 7x) + -6 = -6(-4x + 5) + -7x

Reorder the terms:
-28 + -6 + 7x = -6(-4x + 5) + -7x

Combine like terms: -28 + -6 = -34
-34 + 7x = -6(-4x + 5) + -7x

Reorder the terms:
-34 + 7x = -6(5 + -4x) + -7x
-34 + 7x = (5 * -6 + -4x * -6) + -7x
-34 + 7x = (-30 + 24x) + -7x

Combine like terms: 24x + -7x = 17x
-34 + 7x = -30 + 17x

Solving
-34 + 7x = -30 + 17x

Solving for variable 'x'.

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

Add '-17x' to each side of the equation.
-34 + 7x + -17x = -30 + 17x + -17x

Combine like terms: 7x + -17x = -10x
-34 + -10x = -30 + 17x + -17x

Combine like terms: 17x + -17x = 0
-34 + -10x = -30 + 0
-34 + -10x = -30

Add '34' to each side of the equation.
-34 + 34 + -10x = -30 + 34

Combine like terms: -34 + 34 = 0
0 + -10x = -30 + 34
-10x = -30 + 34

Combine like terms: -30 + 34 = 4
-10x = 4

Divide each side by '-10'.
x = -0.4

Simplifying
x = -0.4

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