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

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Solution for 10x+3(x-4)-5x=2(x-3)+4(x-1) equation:


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

Reorder the terms:
10x + 3(-4 + x) + -5x = 2(x + -3) + 4(x + -1)
10x + (-4 * 3 + x * 3) + -5x = 2(x + -3) + 4(x + -1)
10x + (-12 + 3x) + -5x = 2(x + -3) + 4(x + -1)

Reorder the terms:
-12 + 10x + 3x + -5x = 2(x + -3) + 4(x + -1)

Combine like terms: 10x + 3x = 13x
-12 + 13x + -5x = 2(x + -3) + 4(x + -1)

Combine like terms: 13x + -5x = 8x
-12 + 8x = 2(x + -3) + 4(x + -1)

Reorder the terms:
-12 + 8x = 2(-3 + x) + 4(x + -1)
-12 + 8x = (-3 * 2 + x * 2) + 4(x + -1)
-12 + 8x = (-6 + 2x) + 4(x + -1)

Reorder the terms:
-12 + 8x = -6 + 2x + 4(-1 + x)
-12 + 8x = -6 + 2x + (-1 * 4 + x * 4)
-12 + 8x = -6 + 2x + (-4 + 4x)

Reorder the terms:
-12 + 8x = -6 + -4 + 2x + 4x

Combine like terms: -6 + -4 = -10
-12 + 8x = -10 + 2x + 4x

Combine like terms: 2x + 4x = 6x
-12 + 8x = -10 + 6x

Solving
-12 + 8x = -10 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-12 + 8x + -6x = -10 + 6x + -6x

Combine like terms: 8x + -6x = 2x
-12 + 2x = -10 + 6x + -6x

Combine like terms: 6x + -6x = 0
-12 + 2x = -10 + 0
-12 + 2x = -10

Add '12' to each side of the equation.
-12 + 12 + 2x = -10 + 12

Combine like terms: -12 + 12 = 0
0 + 2x = -10 + 12
2x = -10 + 12

Combine like terms: -10 + 12 = 2
2x = 2

Divide each side by '2'.
x = 1

Simplifying
x = 1

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