3(2x-1.5)+4.2=2(x+1)-1

Solution for 3(2x-1.5)+4.2=2(x+1)-1 equation:

Simplifying
3(2x + -1.5) + 4.2 = 2(x + 1) + -1

Reorder the terms:
3(-1.5 + 2x) + 4.2 = 2(x + 1) + -1
(-1.5 * 3 + 2x * 3) + 4.2 = 2(x + 1) + -1
(-4.5 + 6x) + 4.2 = 2(x + 1) + -1

Reorder the terms:
-4.5 + 4.2 + 6x = 2(x + 1) + -1

Combine like terms: -4.5 + 4.2 = -0.3
-0.3 + 6x = 2(x + 1) + -1

Reorder the terms:
-0.3 + 6x = 2(1 + x) + -1
-0.3 + 6x = (1 * 2 + x * 2) + -1
-0.3 + 6x = (2 + 2x) + -1

Reorder the terms:
-0.3 + 6x = 2 + -1 + 2x

Combine like terms: 2 + -1 = 1
-0.3 + 6x = 1 + 2x

Solving
-0.3 + 6x = 1 + 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.
-0.3 + 6x + -2x = 1 + 2x + -2x

Combine like terms: 6x + -2x = 4x
-0.3 + 4x = 1 + 2x + -2x

Combine like terms: 2x + -2x = 0
-0.3 + 4x = 1 + 0
-0.3 + 4x = 1

Add '0.3' to each side of the equation.
-0.3 + 0.3 + 4x = 1 + 0.3

Combine like terms: -0.3 + 0.3 = 0.0
0.0 + 4x = 1 + 0.3
4x = 1 + 0.3

Combine like terms: 1 + 0.3 = 1.3
4x = 1.3

Divide each side by '4'.
x = 0.325

Simplifying
x = 0.325