6-(4x-3)=7(-5x+2)

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Solution for 6-(4x-3)=7(-5x+2) equation:


Simplifying
6 + -1(4x + -3) = 7(-5x + 2)

Reorder the terms:
6 + -1(-3 + 4x) = 7(-5x + 2)
6 + (-3 * -1 + 4x * -1) = 7(-5x + 2)
6 + (3 + -4x) = 7(-5x + 2)

Combine like terms: 6 + 3 = 9
9 + -4x = 7(-5x + 2)

Reorder the terms:
9 + -4x = 7(2 + -5x)
9 + -4x = (2 * 7 + -5x * 7)
9 + -4x = (14 + -35x)

Solving
9 + -4x = 14 + -35x

Solving for variable 'x'.

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

Add '35x' to each side of the equation.
9 + -4x + 35x = 14 + -35x + 35x

Combine like terms: -4x + 35x = 31x
9 + 31x = 14 + -35x + 35x

Combine like terms: -35x + 35x = 0
9 + 31x = 14 + 0
9 + 31x = 14

Add '-9' to each side of the equation.
9 + -9 + 31x = 14 + -9

Combine like terms: 9 + -9 = 0
0 + 31x = 14 + -9
31x = 14 + -9

Combine like terms: 14 + -9 = 5
31x = 5

Divide each side by '31'.
x = 0.1612903226

Simplifying
x = 0.1612903226

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