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

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


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

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

Reorder the terms:
-6 + 2x + 3(-4 + x) = 7X + -10
-6 + 2x + (-4 * 3 + x * 3) = 7X + -10
-6 + 2x + (-12 + 3x) = 7X + -10

Reorder the terms:
-6 + -12 + 2x + 3x = 7X + -10

Combine like terms: -6 + -12 = -18
-18 + 2x + 3x = 7X + -10

Combine like terms: 2x + 3x = 5x
-18 + 5x = 7X + -10

Reorder the terms:
-18 + 5x = -10 + 7X

Solving
-18 + 5x = -10 + 7X

Solving for variable 'x'.

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

Add '18' to each side of the equation.
-18 + 18 + 5x = -10 + 18 + 7X

Combine like terms: -18 + 18 = 0
0 + 5x = -10 + 18 + 7X
5x = -10 + 18 + 7X

Combine like terms: -10 + 18 = 8
5x = 8 + 7X

Divide each side by '5'.
x = 1.6 + 1.4X

Simplifying
x = 1.6 + 1.4X

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