4(x-3)+5x=x-4+7x+10

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Solution for 4(x-3)+5x=x-4+7x+10 equation:


Simplifying
4(x + -3) + 5x = x + -4 + 7x + 10

Reorder the terms:
4(-3 + x) + 5x = x + -4 + 7x + 10
(-3 * 4 + x * 4) + 5x = x + -4 + 7x + 10
(-12 + 4x) + 5x = x + -4 + 7x + 10

Combine like terms: 4x + 5x = 9x
-12 + 9x = x + -4 + 7x + 10

Reorder the terms:
-12 + 9x = -4 + 10 + x + 7x

Combine like terms: -4 + 10 = 6
-12 + 9x = 6 + x + 7x

Combine like terms: x + 7x = 8x
-12 + 9x = 6 + 8x

Solving
-12 + 9x = 6 + 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.
-12 + 9x + -8x = 6 + 8x + -8x

Combine like terms: 9x + -8x = 1x
-12 + 1x = 6 + 8x + -8x

Combine like terms: 8x + -8x = 0
-12 + 1x = 6 + 0
-12 + 1x = 6

Add '12' to each side of the equation.
-12 + 12 + 1x = 6 + 12

Combine like terms: -12 + 12 = 0
0 + 1x = 6 + 12
1x = 6 + 12

Combine like terms: 6 + 12 = 18
1x = 18

Divide each side by '1'.
x = 18

Simplifying
x = 18

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