16x-5(2x-3)=23+7(6x+4)

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Solution for 16x-5(2x-3)=23+7(6x+4) equation:


Simplifying
16x + -5(2x + -3) = 23 + 7(6x + 4)

Reorder the terms:
16x + -5(-3 + 2x) = 23 + 7(6x + 4)
16x + (-3 * -5 + 2x * -5) = 23 + 7(6x + 4)
16x + (15 + -10x) = 23 + 7(6x + 4)

Reorder the terms:
15 + 16x + -10x = 23 + 7(6x + 4)

Combine like terms: 16x + -10x = 6x
15 + 6x = 23 + 7(6x + 4)

Reorder the terms:
15 + 6x = 23 + 7(4 + 6x)
15 + 6x = 23 + (4 * 7 + 6x * 7)
15 + 6x = 23 + (28 + 42x)

Combine like terms: 23 + 28 = 51
15 + 6x = 51 + 42x

Solving
15 + 6x = 51 + 42x

Solving for variable 'x'.

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

Add '-42x' to each side of the equation.
15 + 6x + -42x = 51 + 42x + -42x

Combine like terms: 6x + -42x = -36x
15 + -36x = 51 + 42x + -42x

Combine like terms: 42x + -42x = 0
15 + -36x = 51 + 0
15 + -36x = 51

Add '-15' to each side of the equation.
15 + -15 + -36x = 51 + -15

Combine like terms: 15 + -15 = 0
0 + -36x = 51 + -15
-36x = 51 + -15

Combine like terms: 51 + -15 = 36
-36x = 36

Divide each side by '-36'.
x = -1

Simplifying
x = -1

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