4(2x+9)+3(x-7)=7(x+3)+2

Solution for 4(2x+9)+3(x-7)=7(x+3)+2 equation:

Simplifying
4(2x + 9) + 3(x + -7) = 7(x + 3) + 2

Reorder the terms:
4(9 + 2x) + 3(x + -7) = 7(x + 3) + 2
(9 * 4 + 2x * 4) + 3(x + -7) = 7(x + 3) + 2
(36 + 8x) + 3(x + -7) = 7(x + 3) + 2

Reorder the terms:
36 + 8x + 3(-7 + x) = 7(x + 3) + 2
36 + 8x + (-7 * 3 + x * 3) = 7(x + 3) + 2
36 + 8x + (-21 + 3x) = 7(x + 3) + 2

Reorder the terms:
36 + -21 + 8x + 3x = 7(x + 3) + 2

Combine like terms: 36 + -21 = 15
15 + 8x + 3x = 7(x + 3) + 2

Combine like terms: 8x + 3x = 11x
15 + 11x = 7(x + 3) + 2

Reorder the terms:
15 + 11x = 7(3 + x) + 2
15 + 11x = (3 * 7 + x * 7) + 2
15 + 11x = (21 + 7x) + 2

Reorder the terms:
15 + 11x = 21 + 2 + 7x

Combine like terms: 21 + 2 = 23
15 + 11x = 23 + 7x

Solving
15 + 11x = 23 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
15 + 11x + -7x = 23 + 7x + -7x

Combine like terms: 11x + -7x = 4x
15 + 4x = 23 + 7x + -7x

Combine like terms: 7x + -7x = 0
15 + 4x = 23 + 0
15 + 4x = 23

Add '-15' to each side of the equation.
15 + -15 + 4x = 23 + -15

Combine like terms: 15 + -15 = 0
0 + 4x = 23 + -15
4x = 23 + -15

Combine like terms: 23 + -15 = 8
4x = 8

Divide each side by '4'.
x = 2

Simplifying
x = 2