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

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


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

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

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

Reorder the terms:
4 + -4x = -10 + 5x + 4x

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

Solving
4 + -4x = -10 + 9x

Solving for variable 'x'.

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

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

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

Combine like terms: 9x + -9x = 0
4 + -13x = -10 + 0
4 + -13x = -10

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

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

Combine like terms: -10 + -4 = -14
-13x = -14

Divide each side by '-13'.
x = 1.076923077

Simplifying
x = 1.076923077

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