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

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


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

Reorder the terms:
3(-5 + 2x) + -4(-3 + 4x) = 1
(-5 * 3 + 2x * 3) + -4(-3 + 4x) = 1
(-15 + 6x) + -4(-3 + 4x) = 1
-15 + 6x + (-3 * -4 + 4x * -4) = 1
-15 + 6x + (12 + -16x) = 1

Reorder the terms:
-15 + 12 + 6x + -16x = 1

Combine like terms: -15 + 12 = -3
-3 + 6x + -16x = 1

Combine like terms: 6x + -16x = -10x
-3 + -10x = 1

Solving
-3 + -10x = 1

Solving for variable 'x'.

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

Add '3' to each side of the equation.
-3 + 3 + -10x = 1 + 3

Combine like terms: -3 + 3 = 0
0 + -10x = 1 + 3
-10x = 1 + 3

Combine like terms: 1 + 3 = 4
-10x = 4

Divide each side by '-10'.
x = -0.4

Simplifying
x = -0.4

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