3(x-2)+4(x-3)=2(x+3)-10

Solution for 3(x-2)+4(x-3)=2(x+3)-10 equation:

Simplifying
3(x + -2) + 4(x + -3) = 2(x + 3) + -10

Reorder the terms:
3(-2 + x) + 4(x + -3) = 2(x + 3) + -10
(-2 * 3 + x * 3) + 4(x + -3) = 2(x + 3) + -10
(-6 + 3x) + 4(x + -3) = 2(x + 3) + -10

Reorder the terms:
-6 + 3x + 4(-3 + x) = 2(x + 3) + -10
-6 + 3x + (-3 * 4 + x * 4) = 2(x + 3) + -10
-6 + 3x + (-12 + 4x) = 2(x + 3) + -10

Reorder the terms:
-6 + -12 + 3x + 4x = 2(x + 3) + -10

Combine like terms: -6 + -12 = -18
-18 + 3x + 4x = 2(x + 3) + -10

Combine like terms: 3x + 4x = 7x
-18 + 7x = 2(x + 3) + -10

Reorder the terms:
-18 + 7x = 2(3 + x) + -10
-18 + 7x = (3 * 2 + x * 2) + -10
-18 + 7x = (6 + 2x) + -10

Reorder the terms:
-18 + 7x = 6 + -10 + 2x

Combine like terms: 6 + -10 = -4
-18 + 7x = -4 + 2x

Solving
-18 + 7x = -4 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-18 + 7x + -2x = -4 + 2x + -2x

Combine like terms: 7x + -2x = 5x
-18 + 5x = -4 + 2x + -2x

Combine like terms: 2x + -2x = 0
-18 + 5x = -4 + 0
-18 + 5x = -4

Add '18' to each side of the equation.
-18 + 18 + 5x = -4 + 18

Combine like terms: -18 + 18 = 0
0 + 5x = -4 + 18
5x = -4 + 18

Combine like terms: -4 + 18 = 14
5x = 14

Divide each side by '5'.
x = 2.8

Simplifying
x = 2.8