3(2x-1)+4(x+2)-15=5(x+1)+35

Solution for 3(2x-1)+4(x+2)-15=5(x+1)+35 equation:

Simplifying
3(2x + -1) + 4(x + 2) + -15 = 5(x + 1) + 35

Reorder the terms:
3(-1 + 2x) + 4(x + 2) + -15 = 5(x + 1) + 35
(-1 * 3 + 2x * 3) + 4(x + 2) + -15 = 5(x + 1) + 35
(-3 + 6x) + 4(x + 2) + -15 = 5(x + 1) + 35

Reorder the terms:
-3 + 6x + 4(2 + x) + -15 = 5(x + 1) + 35
-3 + 6x + (2 * 4 + x * 4) + -15 = 5(x + 1) + 35
-3 + 6x + (8 + 4x) + -15 = 5(x + 1) + 35

Reorder the terms:
-3 + 8 + -15 + 6x + 4x = 5(x + 1) + 35

Combine like terms: -3 + 8 = 5
5 + -15 + 6x + 4x = 5(x + 1) + 35

Combine like terms: 5 + -15 = -10
-10 + 6x + 4x = 5(x + 1) + 35

Combine like terms: 6x + 4x = 10x
-10 + 10x = 5(x + 1) + 35

Reorder the terms:
-10 + 10x = 5(1 + x) + 35
-10 + 10x = (1 * 5 + x * 5) + 35
-10 + 10x = (5 + 5x) + 35

Reorder the terms:
-10 + 10x = 5 + 35 + 5x

Combine like terms: 5 + 35 = 40
-10 + 10x = 40 + 5x

Solving
-10 + 10x = 40 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-10 + 10x + -5x = 40 + 5x + -5x

Combine like terms: 10x + -5x = 5x
-10 + 5x = 40 + 5x + -5x

Combine like terms: 5x + -5x = 0
-10 + 5x = 40 + 0
-10 + 5x = 40

Add '10' to each side of the equation.
-10 + 10 + 5x = 40 + 10

Combine like terms: -10 + 10 = 0
0 + 5x = 40 + 10
5x = 40 + 10

Combine like terms: 40 + 10 = 50
5x = 50

Divide each side by '5'.
x = 10

Simplifying
x = 10