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

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


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

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

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

Combine like terms: -10 + 4 = -6
-6 + -2x = 6(x + 5) + 7

Reorder the terms:
-6 + -2x = 6(5 + x) + 7
-6 + -2x = (5 * 6 + x * 6) + 7
-6 + -2x = (30 + 6x) + 7

Reorder the terms:
-6 + -2x = 30 + 7 + 6x

Combine like terms: 30 + 7 = 37
-6 + -2x = 37 + 6x

Solving
-6 + -2x = 37 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-6 + -2x + -6x = 37 + 6x + -6x

Combine like terms: -2x + -6x = -8x
-6 + -8x = 37 + 6x + -6x

Combine like terms: 6x + -6x = 0
-6 + -8x = 37 + 0
-6 + -8x = 37

Add '6' to each side of the equation.
-6 + 6 + -8x = 37 + 6

Combine like terms: -6 + 6 = 0
0 + -8x = 37 + 6
-8x = 37 + 6

Combine like terms: 37 + 6 = 43
-8x = 43

Divide each side by '-8'.
x = -5.375

Simplifying
x = -5.375

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