6x-3(5x-2)=4(1-x)

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Solution for 6x-3(5x-2)=4(1-x) equation:


Simplifying
6x + -3(5x + -2) = 4(1 + -1x)

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

Reorder the terms:
6 + 6x + -15x = 4(1 + -1x)

Combine like terms: 6x + -15x = -9x
6 + -9x = 4(1 + -1x)
6 + -9x = (1 * 4 + -1x * 4)
6 + -9x = (4 + -4x)

Solving
6 + -9x = 4 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
6 + -9x + 4x = 4 + -4x + 4x

Combine like terms: -9x + 4x = -5x
6 + -5x = 4 + -4x + 4x

Combine like terms: -4x + 4x = 0
6 + -5x = 4 + 0
6 + -5x = 4

Add '-6' to each side of the equation.
6 + -6 + -5x = 4 + -6

Combine like terms: 6 + -6 = 0
0 + -5x = 4 + -6
-5x = 4 + -6

Combine like terms: 4 + -6 = -2
-5x = -2

Divide each side by '-5'.
x = 0.4

Simplifying
x = 0.4

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