10x+(4-x)=7x+2(3x+5)

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Solution for 10x+(4-x)=7x+2(3x+5) equation:


Simplifying
10x + (4 + -1x) = 7x + 2(3x + 5)

Remove parenthesis around (4 + -1x)
10x + 4 + -1x = 7x + 2(3x + 5)

Reorder the terms:
4 + 10x + -1x = 7x + 2(3x + 5)

Combine like terms: 10x + -1x = 9x
4 + 9x = 7x + 2(3x + 5)

Reorder the terms:
4 + 9x = 7x + 2(5 + 3x)
4 + 9x = 7x + (5 * 2 + 3x * 2)
4 + 9x = 7x + (10 + 6x)

Reorder the terms:
4 + 9x = 10 + 7x + 6x

Combine like terms: 7x + 6x = 13x
4 + 9x = 10 + 13x

Solving
4 + 9x = 10 + 13x

Solving for variable 'x'.

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

Add '-13x' to each side of the equation.
4 + 9x + -13x = 10 + 13x + -13x

Combine like terms: 9x + -13x = -4x
4 + -4x = 10 + 13x + -13x

Combine like terms: 13x + -13x = 0
4 + -4x = 10 + 0
4 + -4x = 10

Add '-4' to each side of the equation.
4 + -4 + -4x = 10 + -4

Combine like terms: 4 + -4 = 0
0 + -4x = 10 + -4
-4x = 10 + -4

Combine like terms: 10 + -4 = 6
-4x = 6

Divide each side by '-4'.
x = -1.5

Simplifying
x = -1.5

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