7x-(4x+3)=8x-43

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Solution for 7x-(4x+3)=8x-43 equation:


Simplifying
7x + -1(4x + 3) = 8x + -43

Reorder the terms:
7x + -1(3 + 4x) = 8x + -43
7x + (3 * -1 + 4x * -1) = 8x + -43
7x + (-3 + -4x) = 8x + -43

Reorder the terms:
-3 + 7x + -4x = 8x + -43

Combine like terms: 7x + -4x = 3x
-3 + 3x = 8x + -43

Reorder the terms:
-3 + 3x = -43 + 8x

Solving
-3 + 3x = -43 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-3 + 3x + -8x = -43 + 8x + -8x

Combine like terms: 3x + -8x = -5x
-3 + -5x = -43 + 8x + -8x

Combine like terms: 8x + -8x = 0
-3 + -5x = -43 + 0
-3 + -5x = -43

Add '3' to each side of the equation.
-3 + 3 + -5x = -43 + 3

Combine like terms: -3 + 3 = 0
0 + -5x = -43 + 3
-5x = -43 + 3

Combine like terms: -43 + 3 = -40
-5x = -40

Divide each side by '-5'.
x = 8

Simplifying
x = 8

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