6(x-2)-4=-2(-2x+5)-7x

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Solution for 6(x-2)-4=-2(-2x+5)-7x equation:


Simplifying
6(x + -2) + -4 = -2(-2x + 5) + -7x

Reorder the terms:
6(-2 + x) + -4 = -2(-2x + 5) + -7x
(-2 * 6 + x * 6) + -4 = -2(-2x + 5) + -7x
(-12 + 6x) + -4 = -2(-2x + 5) + -7x

Reorder the terms:
-12 + -4 + 6x = -2(-2x + 5) + -7x

Combine like terms: -12 + -4 = -16
-16 + 6x = -2(-2x + 5) + -7x

Reorder the terms:
-16 + 6x = -2(5 + -2x) + -7x
-16 + 6x = (5 * -2 + -2x * -2) + -7x
-16 + 6x = (-10 + 4x) + -7x

Combine like terms: 4x + -7x = -3x
-16 + 6x = -10 + -3x

Solving
-16 + 6x = -10 + -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.
-16 + 6x + 3x = -10 + -3x + 3x

Combine like terms: 6x + 3x = 9x
-16 + 9x = -10 + -3x + 3x

Combine like terms: -3x + 3x = 0
-16 + 9x = -10 + 0
-16 + 9x = -10

Add '16' to each side of the equation.
-16 + 16 + 9x = -10 + 16

Combine like terms: -16 + 16 = 0
0 + 9x = -10 + 16
9x = -10 + 16

Combine like terms: -10 + 16 = 6
9x = 6

Divide each side by '9'.
x = 0.6666666667

Simplifying
x = 0.6666666667

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