2(x-3)+24x=4(7x+1)-3x

Solution for 2(x-3)+24x=4(7x+1)-3x equation:

Simplifying
2(x + -3) + 24x = 4(7x + 1) + -3x

Reorder the terms:
2(-3 + x) + 24x = 4(7x + 1) + -3x
(-3 * 2 + x * 2) + 24x = 4(7x + 1) + -3x
(-6 + 2x) + 24x = 4(7x + 1) + -3x

Combine like terms: 2x + 24x = 26x
-6 + 26x = 4(7x + 1) + -3x

Reorder the terms:
-6 + 26x = 4(1 + 7x) + -3x
-6 + 26x = (1 * 4 + 7x * 4) + -3x
-6 + 26x = (4 + 28x) + -3x

Combine like terms: 28x + -3x = 25x
-6 + 26x = 4 + 25x

Solving
-6 + 26x = 4 + 25x

Solving for variable 'x'.

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

Add '-25x' to each side of the equation.
-6 + 26x + -25x = 4 + 25x + -25x

Combine like terms: 26x + -25x = 1x
-6 + 1x = 4 + 25x + -25x

Combine like terms: 25x + -25x = 0
-6 + 1x = 4 + 0
-6 + 1x = 4

Add '6' to each side of the equation.
-6 + 6 + 1x = 4 + 6

Combine like terms: -6 + 6 = 0
0 + 1x = 4 + 6
1x = 4 + 6

Combine like terms: 4 + 6 = 10
1x = 10

Divide each side by '1'.
x = 10

Simplifying
x = 10