-2(x+5)+6x=4(2x-3)+6

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Solution for -2(x+5)+6x=4(2x-3)+6 equation:


Simplifying
-2(x + 5) + 6x = 4(2x + -3) + 6

Reorder the terms:
-2(5 + x) + 6x = 4(2x + -3) + 6
(5 * -2 + x * -2) + 6x = 4(2x + -3) + 6
(-10 + -2x) + 6x = 4(2x + -3) + 6

Combine like terms: -2x + 6x = 4x
-10 + 4x = 4(2x + -3) + 6

Reorder the terms:
-10 + 4x = 4(-3 + 2x) + 6
-10 + 4x = (-3 * 4 + 2x * 4) + 6
-10 + 4x = (-12 + 8x) + 6

Reorder the terms:
-10 + 4x = -12 + 6 + 8x

Combine like terms: -12 + 6 = -6
-10 + 4x = -6 + 8x

Solving
-10 + 4x = -6 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-10 + 4x + -8x = -6 + 8x + -8x

Combine like terms: 4x + -8x = -4x
-10 + -4x = -6 + 8x + -8x

Combine like terms: 8x + -8x = 0
-10 + -4x = -6 + 0
-10 + -4x = -6

Add '10' to each side of the equation.
-10 + 10 + -4x = -6 + 10

Combine like terms: -10 + 10 = 0
0 + -4x = -6 + 10
-4x = -6 + 10

Combine like terms: -6 + 10 = 4
-4x = 4

Divide each side by '-4'.
x = -1

Simplifying
x = -1

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