6(x+1)-10=7(x+3)+4x

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Solution for 6(x+1)-10=7(x+3)+4x equation:


Simplifying
6(x + 1) + -10 = 7(x + 3) + 4x

Reorder the terms:
6(1 + x) + -10 = 7(x + 3) + 4x
(1 * 6 + x * 6) + -10 = 7(x + 3) + 4x
(6 + 6x) + -10 = 7(x + 3) + 4x

Reorder the terms:
6 + -10 + 6x = 7(x + 3) + 4x

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

Reorder the terms:
-4 + 6x = 7(3 + x) + 4x
-4 + 6x = (3 * 7 + x * 7) + 4x
-4 + 6x = (21 + 7x) + 4x

Combine like terms: 7x + 4x = 11x
-4 + 6x = 21 + 11x

Solving
-4 + 6x = 21 + 11x

Solving for variable 'x'.

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

Add '-11x' to each side of the equation.
-4 + 6x + -11x = 21 + 11x + -11x

Combine like terms: 6x + -11x = -5x
-4 + -5x = 21 + 11x + -11x

Combine like terms: 11x + -11x = 0
-4 + -5x = 21 + 0
-4 + -5x = 21

Add '4' to each side of the equation.
-4 + 4 + -5x = 21 + 4

Combine like terms: -4 + 4 = 0
0 + -5x = 21 + 4
-5x = 21 + 4

Combine like terms: 21 + 4 = 25
-5x = 25

Divide each side by '-5'.
x = -5

Simplifying
x = -5

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