4(x+5)+7(x+10)=12x+4x

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Solution for 4(x+5)+7(x+10)=12x+4x equation:


Simplifying
4(x + 5) + 7(x + 10) = 12x + 4x

Reorder the terms:
4(5 + x) + 7(x + 10) = 12x + 4x
(5 * 4 + x * 4) + 7(x + 10) = 12x + 4x
(20 + 4x) + 7(x + 10) = 12x + 4x

Reorder the terms:
20 + 4x + 7(10 + x) = 12x + 4x
20 + 4x + (10 * 7 + x * 7) = 12x + 4x
20 + 4x + (70 + 7x) = 12x + 4x

Reorder the terms:
20 + 70 + 4x + 7x = 12x + 4x

Combine like terms: 20 + 70 = 90
90 + 4x + 7x = 12x + 4x

Combine like terms: 4x + 7x = 11x
90 + 11x = 12x + 4x

Combine like terms: 12x + 4x = 16x
90 + 11x = 16x

Solving
90 + 11x = 16x

Solving for variable 'x'.

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

Add '-16x' to each side of the equation.
90 + 11x + -16x = 16x + -16x

Combine like terms: 11x + -16x = -5x
90 + -5x = 16x + -16x

Combine like terms: 16x + -16x = 0
90 + -5x = 0

Add '-90' to each side of the equation.
90 + -90 + -5x = 0 + -90

Combine like terms: 90 + -90 = 0
0 + -5x = 0 + -90
-5x = 0 + -90

Combine like terms: 0 + -90 = -90
-5x = -90

Divide each side by '-5'.
x = 18

Simplifying
x = 18

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