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

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Solution for 5(x-3)+3x=7(x+4)-43 equation:


Simplifying
5(x + -3) + 3x = 7(x + 4) + -43

Reorder the terms:
5(-3 + x) + 3x = 7(x + 4) + -43
(-3 * 5 + x * 5) + 3x = 7(x + 4) + -43
(-15 + 5x) + 3x = 7(x + 4) + -43

Combine like terms: 5x + 3x = 8x
-15 + 8x = 7(x + 4) + -43

Reorder the terms:
-15 + 8x = 7(4 + x) + -43
-15 + 8x = (4 * 7 + x * 7) + -43
-15 + 8x = (28 + 7x) + -43

Reorder the terms:
-15 + 8x = 28 + -43 + 7x

Combine like terms: 28 + -43 = -15
-15 + 8x = -15 + 7x

Add '15' to each side of the equation.
-15 + 15 + 8x = -15 + 15 + 7x

Combine like terms: -15 + 15 = 0
0 + 8x = -15 + 15 + 7x
8x = -15 + 15 + 7x

Combine like terms: -15 + 15 = 0
8x = 0 + 7x
8x = 7x

Solving
8x = 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
8x + -7x = 7x + -7x

Combine like terms: 8x + -7x = 1x
1x = 7x + -7x

Combine like terms: 7x + -7x = 0
1x = 0

Divide each side by '1'.
x = 0

Simplifying
x = 0

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