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

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


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

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

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

Reorder the terms:
-4 + 8x = -6 + -5 + 15x

Combine like terms: -6 + -5 = -11
-4 + 8x = -11 + 15x

Solving
-4 + 8x = -11 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
-4 + 8x + -15x = -11 + 15x + -15x

Combine like terms: 8x + -15x = -7x
-4 + -7x = -11 + 15x + -15x

Combine like terms: 15x + -15x = 0
-4 + -7x = -11 + 0
-4 + -7x = -11

Add '4' to each side of the equation.
-4 + 4 + -7x = -11 + 4

Combine like terms: -4 + 4 = 0
0 + -7x = -11 + 4
-7x = -11 + 4

Combine like terms: -11 + 4 = -7
-7x = -7

Divide each side by '-7'.
x = 1

Simplifying
x = 1

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