5(x-2)+7=2(x+3)+4x

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Solution for 5(x-2)+7=2(x+3)+4x equation:


Simplifying
5(x + -2) + 7 = 2(x + 3) + 4x

Reorder the terms:
5(-2 + x) + 7 = 2(x + 3) + 4x
(-2 * 5 + x * 5) + 7 = 2(x + 3) + 4x
(-10 + 5x) + 7 = 2(x + 3) + 4x

Reorder the terms:
-10 + 7 + 5x = 2(x + 3) + 4x

Combine like terms: -10 + 7 = -3
-3 + 5x = 2(x + 3) + 4x

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

Combine like terms: 2x + 4x = 6x
-3 + 5x = 6 + 6x

Solving
-3 + 5x = 6 + 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.
-3 + 5x + -6x = 6 + 6x + -6x

Combine like terms: 5x + -6x = -1x
-3 + -1x = 6 + 6x + -6x

Combine like terms: 6x + -6x = 0
-3 + -1x = 6 + 0
-3 + -1x = 6

Add '3' to each side of the equation.
-3 + 3 + -1x = 6 + 3

Combine like terms: -3 + 3 = 0
0 + -1x = 6 + 3
-1x = 6 + 3

Combine like terms: 6 + 3 = 9
-1x = 9

Divide each side by '-1'.
x = -9

Simplifying
x = -9

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