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

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


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

Reorder the terms:
10 + -5x = 3(-4 + x) + -2(x + -7)
10 + -5x = (-4 * 3 + x * 3) + -2(x + -7)
10 + -5x = (-12 + 3x) + -2(x + -7)

Reorder the terms:
10 + -5x = -12 + 3x + -2(-7 + x)
10 + -5x = -12 + 3x + (-7 * -2 + x * -2)
10 + -5x = -12 + 3x + (14 + -2x)

Reorder the terms:
10 + -5x = -12 + 14 + 3x + -2x

Combine like terms: -12 + 14 = 2
10 + -5x = 2 + 3x + -2x

Combine like terms: 3x + -2x = 1x
10 + -5x = 2 + 1x

Solving
10 + -5x = 2 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
10 + -5x + -1x = 2 + 1x + -1x

Combine like terms: -5x + -1x = -6x
10 + -6x = 2 + 1x + -1x

Combine like terms: 1x + -1x = 0
10 + -6x = 2 + 0
10 + -6x = 2

Add '-10' to each side of the equation.
10 + -10 + -6x = 2 + -10

Combine like terms: 10 + -10 = 0
0 + -6x = 2 + -10
-6x = 2 + -10

Combine like terms: 2 + -10 = -8
-6x = -8

Divide each side by '-6'.
x = 1.333333333

Simplifying
x = 1.333333333

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