4(6x-7)+39=-7(x-4)+16x-2

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Solution for 4(6x-7)+39=-7(x-4)+16x-2 equation:


Simplifying
4(6x + -7) + 39 = -7(x + -4) + 16x + -2

Reorder the terms:
4(-7 + 6x) + 39 = -7(x + -4) + 16x + -2
(-7 * 4 + 6x * 4) + 39 = -7(x + -4) + 16x + -2
(-28 + 24x) + 39 = -7(x + -4) + 16x + -2

Reorder the terms:
-28 + 39 + 24x = -7(x + -4) + 16x + -2

Combine like terms: -28 + 39 = 11
11 + 24x = -7(x + -4) + 16x + -2

Reorder the terms:
11 + 24x = -7(-4 + x) + 16x + -2
11 + 24x = (-4 * -7 + x * -7) + 16x + -2
11 + 24x = (28 + -7x) + 16x + -2

Reorder the terms:
11 + 24x = 28 + -2 + -7x + 16x

Combine like terms: 28 + -2 = 26
11 + 24x = 26 + -7x + 16x

Combine like terms: -7x + 16x = 9x
11 + 24x = 26 + 9x

Solving
11 + 24x = 26 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
11 + 24x + -9x = 26 + 9x + -9x

Combine like terms: 24x + -9x = 15x
11 + 15x = 26 + 9x + -9x

Combine like terms: 9x + -9x = 0
11 + 15x = 26 + 0
11 + 15x = 26

Add '-11' to each side of the equation.
11 + -11 + 15x = 26 + -11

Combine like terms: 11 + -11 = 0
0 + 15x = 26 + -11
15x = 26 + -11

Combine like terms: 26 + -11 = 15
15x = 15

Divide each side by '15'.
x = 1

Simplifying
x = 1

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