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

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


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

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

Remove parenthesis around (-7 + 3x)
6x + -7 + 3x = 4 + -1(4x + -3)

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

Combine like terms: 6x + 3x = 9x
-7 + 9x = 4 + -1(4x + -3)

Reorder the terms:
-7 + 9x = 4 + -1(-3 + 4x)
-7 + 9x = 4 + (-3 * -1 + 4x * -1)
-7 + 9x = 4 + (3 + -4x)

Combine like terms: 4 + 3 = 7
-7 + 9x = 7 + -4x

Solving
-7 + 9x = 7 + -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.
-7 + 9x + 4x = 7 + -4x + 4x

Combine like terms: 9x + 4x = 13x
-7 + 13x = 7 + -4x + 4x

Combine like terms: -4x + 4x = 0
-7 + 13x = 7 + 0
-7 + 13x = 7

Add '7' to each side of the equation.
-7 + 7 + 13x = 7 + 7

Combine like terms: -7 + 7 = 0
0 + 13x = 7 + 7
13x = 7 + 7

Combine like terms: 7 + 7 = 14
13x = 14

Divide each side by '13'.
x = 1.076923077

Simplifying
x = 1.076923077

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