5(2x-2)+3=6(x+4)-15

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Solution for 5(2x-2)+3=6(x+4)-15 equation:


Simplifying
5(2x + -2) + 3 = 6(x + 4) + -15

Reorder the terms:
5(-2 + 2x) + 3 = 6(x + 4) + -15
(-2 * 5 + 2x * 5) + 3 = 6(x + 4) + -15
(-10 + 10x) + 3 = 6(x + 4) + -15

Reorder the terms:
-10 + 3 + 10x = 6(x + 4) + -15

Combine like terms: -10 + 3 = -7
-7 + 10x = 6(x + 4) + -15

Reorder the terms:
-7 + 10x = 6(4 + x) + -15
-7 + 10x = (4 * 6 + x * 6) + -15
-7 + 10x = (24 + 6x) + -15

Reorder the terms:
-7 + 10x = 24 + -15 + 6x

Combine like terms: 24 + -15 = 9
-7 + 10x = 9 + 6x

Solving
-7 + 10x = 9 + 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.
-7 + 10x + -6x = 9 + 6x + -6x

Combine like terms: 10x + -6x = 4x
-7 + 4x = 9 + 6x + -6x

Combine like terms: 6x + -6x = 0
-7 + 4x = 9 + 0
-7 + 4x = 9

Add '7' to each side of the equation.
-7 + 7 + 4x = 9 + 7

Combine like terms: -7 + 7 = 0
0 + 4x = 9 + 7
4x = 9 + 7

Combine like terms: 9 + 7 = 16
4x = 16

Divide each side by '4'.
x = 4

Simplifying
x = 4

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